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Finding the Third Proportional to 786,528 and 1,202,712

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Solution

The third proportional to 786,528 and 1,202,712 is: 1,839,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,528 : 1,202,712 = 1,202,712 : x
  2. Step 2: Convert to fraction form
    786,528/1,202,712 = 1,202,712/x
  3. Step 3: Cross multiply
    786,528x = 1,202,712 × 1,202,712
  4. Step 4: Simplify right side
    786,528x = 1,446,516,154,944
  5. Step 5: Solve for x
    x = 1,446,516,154,944/786,528
  6. Step 6: Final answer
    x = 1,839,115.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.