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Finding the Third Proportional to 677,428 and 1,021,882

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Solution

The third proportional to 677,428 and 1,021,882 is: 1,541,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,428 : 1,021,882 = 1,021,882 : x
  2. Step 2: Convert to fraction form
    677,428/1,021,882 = 1,021,882/x
  3. Step 3: Cross multiply
    677,428x = 1,021,882 × 1,021,882
  4. Step 4: Simplify right side
    677,428x = 1,044,242,821,924
  5. Step 5: Solve for x
    x = 1,044,242,821,924/677,428
  6. Step 6: Final answer
    x = 1,541,481.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.