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Finding the Third Proportional to 778,142 and 1,167,213

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Solution

The third proportional to 778,142 and 1,167,213 is: 1,750,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,142 : 1,167,213 = 1,167,213 : x
  2. Step 2: Convert to fraction form
    778,142/1,167,213 = 1,167,213/x
  3. Step 3: Cross multiply
    778,142x = 1,167,213 × 1,167,213
  4. Step 4: Simplify right side
    778,142x = 1,362,386,187,369
  5. Step 5: Solve for x
    x = 1,362,386,187,369/778,142
  6. Step 6: Final answer
    x = 1,750,819.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.