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Finding the Third Proportional to 1,169,117 and 2,731,585

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Solution

The third proportional to 1,169,117 and 2,731,585 is: 6,382,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,117 : 2,731,585 = 2,731,585 : x
  2. Step 2: Convert to fraction form
    1,169,117/2,731,585 = 2,731,585/x
  3. Step 3: Cross multiply
    1,169,117x = 2,731,585 × 2,731,585
  4. Step 4: Simplify right side
    1,169,117x = 7,461,556,612,225
  5. Step 5: Solve for x
    x = 7,461,556,612,225/1,169,117
  6. Step 6: Final answer
    x = 6,382,215.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.