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Finding the Third Proportional to 696,080 and 1,474,528

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Solution

The third proportional to 696,080 and 1,474,528 is: 3,123,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,080 : 1,474,528 = 1,474,528 : x
  2. Step 2: Convert to fraction form
    696,080/1,474,528 = 1,474,528/x
  3. Step 3: Cross multiply
    696,080x = 1,474,528 × 1,474,528
  4. Step 4: Simplify right side
    696,080x = 2,174,232,822,784
  5. Step 5: Solve for x
    x = 2,174,232,822,784/696,080
  6. Step 6: Final answer
    x = 3,123,538.71

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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.