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Finding the Third Proportional to 732,560 and 1,570,249

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Solution

The third proportional to 732,560 and 1,570,249 is: 3,365,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,560 : 1,570,249 = 1,570,249 : x
  2. Step 2: Convert to fraction form
    732,560/1,570,249 = 1,570,249/x
  3. Step 3: Cross multiply
    732,560x = 1,570,249 × 1,570,249
  4. Step 4: Simplify right side
    732,560x = 2,465,681,922,001
  5. Step 5: Solve for x
    x = 2,465,681,922,001/732,560
  6. Step 6: Final answer
    x = 3,365,842.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.