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Finding the Third Proportional to 1,156,566 and 2,506,191

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Solution

The third proportional to 1,156,566 and 2,506,191 is: 5,430,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,566 : 2,506,191 = 2,506,191 : x
  2. Step 2: Convert to fraction form
    1,156,566/2,506,191 = 2,506,191/x
  3. Step 3: Cross multiply
    1,156,566x = 2,506,191 × 2,506,191
  4. Step 4: Simplify right side
    1,156,566x = 6,280,993,328,481
  5. Step 5: Solve for x
    x = 6,280,993,328,481/1,156,566
  6. Step 6: Final answer
    x = 5,430,726.24

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Why These Related Problems?

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