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Finding the Third Proportional to 781,324 and 1,658,572

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Solution

The third proportional to 781,324 and 1,658,572 is: 3,520,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,324 : 1,658,572 = 1,658,572 : x
  2. Step 2: Convert to fraction form
    781,324/1,658,572 = 1,658,572/x
  3. Step 3: Cross multiply
    781,324x = 1,658,572 × 1,658,572
  4. Step 4: Simplify right side
    781,324x = 2,750,861,079,184
  5. Step 5: Solve for x
    x = 2,750,861,079,184/781,324
  6. Step 6: Final answer
    x = 3,520,768.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.