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Finding the Third Proportional to 961,432 and 2,077,047

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Solution

The third proportional to 961,432 and 2,077,047 is: 4,487,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,432 : 2,077,047 = 2,077,047 : x
  2. Step 2: Convert to fraction form
    961,432/2,077,047 = 2,077,047/x
  3. Step 3: Cross multiply
    961,432x = 2,077,047 × 2,077,047
  4. Step 4: Simplify right side
    961,432x = 4,314,124,240,209
  5. Step 5: Solve for x
    x = 4,314,124,240,209/961,432
  6. Step 6: Final answer
    x = 4,487,186.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.