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Finding the Third Proportional to 674,247 and 1,448,547

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Solution

The third proportional to 674,247 and 1,448,547 is: 3,112,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,247 : 1,448,547 = 1,448,547 : x
  2. Step 2: Convert to fraction form
    674,247/1,448,547 = 1,448,547/x
  3. Step 3: Cross multiply
    674,247x = 1,448,547 × 1,448,547
  4. Step 4: Simplify right side
    674,247x = 2,098,288,411,209
  5. Step 5: Solve for x
    x = 2,098,288,411,209/674,247
  6. Step 6: Final answer
    x = 3,112,047.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.