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Finding the Third Proportional to 722,913 and 1,570,448

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Solution

The third proportional to 722,913 and 1,570,448 is: 3,411,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,913 : 1,570,448 = 1,570,448 : x
  2. Step 2: Convert to fraction form
    722,913/1,570,448 = 1,570,448/x
  3. Step 3: Cross multiply
    722,913x = 1,570,448 × 1,570,448
  4. Step 4: Simplify right side
    722,913x = 2,466,306,920,704
  5. Step 5: Solve for x
    x = 2,466,306,920,704/722,913
  6. Step 6: Final answer
    x = 3,411,623.42

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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.