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Finding the Third Proportional to 1,161,742.50 and 2,516,490

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Solution

The third proportional to 1,161,742.50 and 2,516,490 is: 5,451,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,742.50 : 2,516,490 = 2,516,490 : x
  2. Step 2: Convert to fraction form
    1,161,742.50/2,516,490 = 2,516,490/x
  3. Step 3: Cross multiply
    1,161,742.50x = 2,516,490 × 2,516,490
  4. Step 4: Simplify right side
    1,161,742.50x = 6,332,721,920,100
  5. Step 5: Solve for x
    x = 6,332,721,920,100/1,161,742.50
  6. Step 6: Final answer
    x = 5,451,054.70

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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.