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Finding the Third Proportional to 724,800 and 1,570,560

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Solution

The third proportional to 724,800 and 1,570,560 is: 3,403,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,800 : 1,570,560 = 1,570,560 : x
  2. Step 2: Convert to fraction form
    724,800/1,570,560 = 1,570,560/x
  3. Step 3: Cross multiply
    724,800x = 1,570,560 × 1,570,560
  4. Step 4: Simplify right side
    724,800x = 2,466,658,713,600
  5. Step 5: Solve for x
    x = 2,466,658,713,600/724,800
  6. Step 6: Final answer
    x = 3,403,226.70

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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.