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Finding the Third Proportional to 704,146 and 1,520,534

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Solution

The third proportional to 704,146 and 1,520,534 is: 3,283,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,146 : 1,520,534 = 1,520,534 : x
  2. Step 2: Convert to fraction form
    704,146/1,520,534 = 1,520,534/x
  3. Step 3: Cross multiply
    704,146x = 1,520,534 × 1,520,534
  4. Step 4: Simplify right side
    704,146x = 2,312,023,645,156
  5. Step 5: Solve for x
    x = 2,312,023,645,156/704,146
  6. Step 6: Final answer
    x = 3,283,443.55

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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.