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Finding the Third Proportional to 724,284,234 and 1,148,759,643

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Solution

The third proportional to 724,284,234 and 1,148,759,643 is: 1,822,003,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,284,234 : 1,148,759,643 = 1,148,759,643 : x
  2. Step 2: Convert to fraction form
    724,284,234/1,148,759,643 = 1,148,759,643/x
  3. Step 3: Cross multiply
    724,284,234x = 1,148,759,643 × 1,148,759,643
  4. Step 4: Simplify right side
    724,284,234x = 1,319,648,717,385,487,360
  5. Step 5: Solve for x
    x = 1,319,648,717,385,487,360/724,284,234
  6. Step 6: Final answer
    x = 1,822,003,925.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.