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Finding the Third Proportional to 914,457 and 1,358,439

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Solution

The third proportional to 914,457 and 1,358,439 is: 2,017,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,457 : 1,358,439 = 1,358,439 : x
  2. Step 2: Convert to fraction form
    914,457/1,358,439 = 1,358,439/x
  3. Step 3: Cross multiply
    914,457x = 1,358,439 × 1,358,439
  4. Step 4: Simplify right side
    914,457x = 1,845,356,516,721
  5. Step 5: Solve for x
    x = 1,845,356,516,721/914,457
  6. Step 6: Final answer
    x = 2,017,980.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.