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Finding the Third Proportional to 1,721,169 and 3,746,331

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Solution

The third proportional to 1,721,169 and 3,746,331 is: 8,154,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,169 : 3,746,331 = 3,746,331 : x
  2. Step 2: Convert to fraction form
    1,721,169/3,746,331 = 3,746,331/x
  3. Step 3: Cross multiply
    1,721,169x = 3,746,331 × 3,746,331
  4. Step 4: Simplify right side
    1,721,169x = 14,034,995,961,561
  5. Step 5: Solve for x
    x = 14,034,995,961,561/1,721,169
  6. Step 6: Final answer
    x = 8,154,339.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.