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Finding the Third Proportional to 689,428 and 1,441,320

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Solution

The third proportional to 689,428 and 1,441,320 is: 3,013,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,428 : 1,441,320 = 1,441,320 : x
  2. Step 2: Convert to fraction form
    689,428/1,441,320 = 1,441,320/x
  3. Step 3: Cross multiply
    689,428x = 1,441,320 × 1,441,320
  4. Step 4: Simplify right side
    689,428x = 2,077,403,342,400
  5. Step 5: Solve for x
    x = 2,077,403,342,400/689,428
  6. Step 6: Final answer
    x = 3,013,227.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.