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Finding the Third Proportional to 1,016,730 and 2,191,045.50

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Solution

The third proportional to 1,016,730 and 2,191,045.50 is: 4,721,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,730 : 2,191,045.50 = 2,191,045.50 : x
  2. Step 2: Convert to fraction form
    1,016,730/2,191,045.50 = 2,191,045.50/x
  3. Step 3: Cross multiply
    1,016,730x = 2,191,045.50 × 2,191,045.50
  4. Step 4: Simplify right side
    1,016,730x = 4,800,680,383,070.25
  5. Step 5: Solve for x
    x = 4,800,680,383,070.25/1,016,730
  6. Step 6: Final answer
    x = 4,721,686.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.