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Finding the Third Proportional to 1,142,865 and 1,680,159

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Solution

The third proportional to 1,142,865 and 1,680,159 is: 2,470,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,865 : 1,680,159 = 1,680,159 : x
  2. Step 2: Convert to fraction form
    1,142,865/1,680,159 = 1,680,159/x
  3. Step 3: Cross multiply
    1,142,865x = 1,680,159 × 1,680,159
  4. Step 4: Simplify right side
    1,142,865x = 2,822,934,265,281
  5. Step 5: Solve for x
    x = 2,822,934,265,281/1,142,865
  6. Step 6: Final answer
    x = 2,470,050.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.