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Finding the Third Proportional to 575,666,698 and 884,294,461

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Solution

The third proportional to 575,666,698 and 884,294,461 is: 1,358,384,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,666,698 : 884,294,461 = 884,294,461 : x
  2. Step 2: Convert to fraction form
    575,666,698/884,294,461 = 884,294,461/x
  3. Step 3: Cross multiply
    575,666,698x = 884,294,461 × 884,294,461
  4. Step 4: Simplify right side
    575,666,698x = 781,976,693,755,280,512
  5. Step 5: Solve for x
    x = 781,976,693,755,280,512/575,666,698
  6. Step 6: Final answer
    x = 1,358,384,454.88

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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.