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Finding the Third Proportional to 545,754,405 and 839,710,615.50

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Solution

The third proportional to 545,754,405 and 839,710,615.50 is: 1,291,998,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,754,405 : 839,710,615.50 = 839,710,615.50 : x
  2. Step 2: Convert to fraction form
    545,754,405/839,710,615.50 = 839,710,615.50/x
  3. Step 3: Cross multiply
    545,754,405x = 839,710,615.50 × 839,710,615.50
  4. Step 4: Simplify right side
    545,754,405x = 705,113,917,783,388,800
  5. Step 5: Solve for x
    x = 705,113,917,783,388,800/545,754,405
  6. Step 6: Final answer
    x = 1,291,998,582.74

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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.