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Finding the Third Proportional to 832,324 and 1,260,560

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Solution

The third proportional to 832,324 and 1,260,560 is: 1,909,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,324 : 1,260,560 = 1,260,560 : x
  2. Step 2: Convert to fraction form
    832,324/1,260,560 = 1,260,560/x
  3. Step 3: Cross multiply
    832,324x = 1,260,560 × 1,260,560
  4. Step 4: Simplify right side
    832,324x = 1,589,011,513,600
  5. Step 5: Solve for x
    x = 1,589,011,513,600/832,324
  6. Step 6: Final answer
    x = 1,909,126.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.