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Finding the Third Proportional to 473,221 and 1,005,488.50

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Solution

The third proportional to 473,221 and 1,005,488.50 is: 2,136,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,221 : 1,005,488.50 = 1,005,488.50 : x
  2. Step 2: Convert to fraction form
    473,221/1,005,488.50 = 1,005,488.50/x
  3. Step 3: Cross multiply
    473,221x = 1,005,488.50 × 1,005,488.50
  4. Step 4: Simplify right side
    473,221x = 1,011,007,123,632.25
  5. Step 5: Solve for x
    x = 1,011,007,123,632.25/473,221
  6. Step 6: Final answer
    x = 2,136,437.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.