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Finding the Third Proportional to 674,428 and 1,411,212

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Solution

The third proportional to 674,428 and 1,411,212 is: 2,952,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,428 : 1,411,212 = 1,411,212 : x
  2. Step 2: Convert to fraction form
    674,428/1,411,212 = 1,411,212/x
  3. Step 3: Cross multiply
    674,428x = 1,411,212 × 1,411,212
  4. Step 4: Simplify right side
    674,428x = 1,991,519,308,944
  5. Step 5: Solve for x
    x = 1,991,519,308,944/674,428
  6. Step 6: Final answer
    x = 2,952,901.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.