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Finding the Third Proportional to 722,920 and 1,570,461

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Solution

The third proportional to 722,920 and 1,570,461 is: 3,411,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,920 : 1,570,461 = 1,570,461 : x
  2. Step 2: Convert to fraction form
    722,920/1,570,461 = 1,570,461/x
  3. Step 3: Cross multiply
    722,920x = 1,570,461 × 1,570,461
  4. Step 4: Simplify right side
    722,920x = 2,466,347,752,521
  5. Step 5: Solve for x
    x = 2,466,347,752,521/722,920
  6. Step 6: Final answer
    x = 3,411,646.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.