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Finding the Third Proportional to 645,408 and 1,402,758

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Solution

The third proportional to 645,408 and 1,402,758 is: 3,048,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,408 : 1,402,758 = 1,402,758 : x
  2. Step 2: Convert to fraction form
    645,408/1,402,758 = 1,402,758/x
  3. Step 3: Cross multiply
    645,408x = 1,402,758 × 1,402,758
  4. Step 4: Simplify right side
    645,408x = 1,967,730,006,564
  5. Step 5: Solve for x
    x = 1,967,730,006,564/645,408
  6. Step 6: Final answer
    x = 3,048,815.64

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