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Finding the Third Proportional to 727,602,471 and 1,118,389,023

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Solution

The third proportional to 727,602,471 and 1,118,389,023 is: 1,719,062,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,602,471 : 1,118,389,023 = 1,118,389,023 : x
  2. Step 2: Convert to fraction form
    727,602,471/1,118,389,023 = 1,118,389,023/x
  3. Step 3: Cross multiply
    727,602,471x = 1,118,389,023 × 1,118,389,023
  4. Step 4: Simplify right side
    727,602,471x = 1,250,794,006,766,894,592
  5. Step 5: Solve for x
    x = 1,250,794,006,766,894,592/727,602,471
  6. Step 6: Final answer
    x = 1,719,062,340.52

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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.