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Finding the Third Proportional to 679,717,464 and 1,049,602,642.50

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Solution

The third proportional to 679,717,464 and 1,049,602,642.50 is: 1,620,770,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,717,464 : 1,049,602,642.50 = 1,049,602,642.50 : x
  2. Step 2: Convert to fraction form
    679,717,464/1,049,602,642.50 = 1,049,602,642.50/x
  3. Step 3: Cross multiply
    679,717,464x = 1,049,602,642.50 × 1,049,602,642.50
  4. Step 4: Simplify right side
    679,717,464x = 1,101,665,707,142,982,784
  5. Step 5: Solve for x
    x = 1,101,665,707,142,982,784/679,717,464
  6. Step 6: Final answer
    x = 1,620,770,048.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.