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Finding the Third Proportional to 765,454 and 1,677,437

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Solution

The third proportional to 765,454 and 1,677,437 is: 3,675,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,454 : 1,677,437 = 1,677,437 : x
  2. Step 2: Convert to fraction form
    765,454/1,677,437 = 1,677,437/x
  3. Step 3: Cross multiply
    765,454x = 1,677,437 × 1,677,437
  4. Step 4: Simplify right side
    765,454x = 2,813,794,888,969
  5. Step 5: Solve for x
    x = 2,813,794,888,969/765,454
  6. Step 6: Final answer
    x = 3,675,981.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.