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Finding the Third Proportional to 714,594 and 1,532,797.50

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Solution

The third proportional to 714,594 and 1,532,797.50 is: 3,287,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,594 : 1,532,797.50 = 1,532,797.50 : x
  2. Step 2: Convert to fraction form
    714,594/1,532,797.50 = 1,532,797.50/x
  3. Step 3: Cross multiply
    714,594x = 1,532,797.50 × 1,532,797.50
  4. Step 4: Simplify right side
    714,594x = 2,349,468,176,006.25
  5. Step 5: Solve for x
    x = 2,349,468,176,006.25/714,594
  6. Step 6: Final answer
    x = 3,287,836.42

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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.