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Finding the Third Proportional to 698,550 and 1,527,870

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Solution

The third proportional to 698,550 and 1,527,870 is: 3,341,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,550 : 1,527,870 = 1,527,870 : x
  2. Step 2: Convert to fraction form
    698,550/1,527,870 = 1,527,870/x
  3. Step 3: Cross multiply
    698,550x = 1,527,870 × 1,527,870
  4. Step 4: Simplify right side
    698,550x = 2,334,386,736,900
  5. Step 5: Solve for x
    x = 2,334,386,736,900/698,550
  6. Step 6: Final answer
    x = 3,341,760.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.