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Finding the Third Proportional to 717,475,501 and 1,113,988,178

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Solution

The third proportional to 717,475,501 and 1,113,988,178 is: 1,729,633,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,475,501 : 1,113,988,178 = 1,113,988,178 : x
  2. Step 2: Convert to fraction form
    717,475,501/1,113,988,178 = 1,113,988,178/x
  3. Step 3: Cross multiply
    717,475,501x = 1,113,988,178 × 1,113,988,178
  4. Step 4: Simplify right side
    717,475,501x = 1,240,969,660,723,759,616
  5. Step 5: Solve for x
    x = 1,240,969,660,723,759,616/717,475,501
  6. Step 6: Final answer
    x = 1,729,633,498.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.