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Finding the Third Proportional to 704,127 and 1,520,496

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Solution

The third proportional to 704,127 and 1,520,496 is: 3,283,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,127 : 1,520,496 = 1,520,496 : x
  2. Step 2: Convert to fraction form
    704,127/1,520,496 = 1,520,496/x
  3. Step 3: Cross multiply
    704,127x = 1,520,496 × 1,520,496
  4. Step 4: Simplify right side
    704,127x = 2,311,908,086,016
  5. Step 5: Solve for x
    x = 2,311,908,086,016/704,127
  6. Step 6: Final answer
    x = 3,283,368.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.