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Finding the Third Proportional to 477,488 and 1,029,692

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Solution

The third proportional to 477,488 and 1,029,692 is: 2,220,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,488 : 1,029,692 = 1,029,692 : x
  2. Step 2: Convert to fraction form
    477,488/1,029,692 = 1,029,692/x
  3. Step 3: Cross multiply
    477,488x = 1,029,692 × 1,029,692
  4. Step 4: Simplify right side
    477,488x = 1,060,265,614,864
  5. Step 5: Solve for x
    x = 1,060,265,614,864/477,488
  6. Step 6: Final answer
    x = 2,220,507.35

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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.