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Finding the Third Proportional to 1,005,002 and 2,176,053.50

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Solution

The third proportional to 1,005,002 and 2,176,053.50 is: 4,711,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,002 : 2,176,053.50 = 2,176,053.50 : x
  2. Step 2: Convert to fraction form
    1,005,002/2,176,053.50 = 2,176,053.50/x
  3. Step 3: Cross multiply
    1,005,002x = 2,176,053.50 × 2,176,053.50
  4. Step 4: Simplify right side
    1,005,002x = 4,735,208,834,862.25
  5. Step 5: Solve for x
    x = 4,735,208,834,862.25/1,005,002
  6. Step 6: Final answer
    x = 4,711,641.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.