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Finding the Third Proportional to 724,938 and 1,705,641

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Solution

The third proportional to 724,938 and 1,705,641 is: 4,013,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,938 : 1,705,641 = 1,705,641 : x
  2. Step 2: Convert to fraction form
    724,938/1,705,641 = 1,705,641/x
  3. Step 3: Cross multiply
    724,938x = 1,705,641 × 1,705,641
  4. Step 4: Simplify right side
    724,938x = 2,909,211,220,881
  5. Step 5: Solve for x
    x = 2,909,211,220,881/724,938
  6. Step 6: Final answer
    x = 4,013,048.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.