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Finding the Third Proportional to 1,000,413 and 1,551,399

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Solution

The third proportional to 1,000,413 and 1,551,399 is: 2,405,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,413 : 1,551,399 = 1,551,399 : x
  2. Step 2: Convert to fraction form
    1,000,413/1,551,399 = 1,551,399/x
  3. Step 3: Cross multiply
    1,000,413x = 1,551,399 × 1,551,399
  4. Step 4: Simplify right side
    1,000,413x = 2,406,838,857,201
  5. Step 5: Solve for x
    x = 2,406,838,857,201/1,000,413
  6. Step 6: Final answer
    x = 2,405,845.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.