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Finding the Third Proportional to 910,624 and 1,336,412

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Solution

The third proportional to 910,624 and 1,336,412 is: 1,961,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,624 : 1,336,412 = 1,336,412 : x
  2. Step 2: Convert to fraction form
    910,624/1,336,412 = 1,336,412/x
  3. Step 3: Cross multiply
    910,624x = 1,336,412 × 1,336,412
  4. Step 4: Simplify right side
    910,624x = 1,785,997,033,744
  5. Step 5: Solve for x
    x = 1,785,997,033,744/910,624
  6. Step 6: Final answer
    x = 1,961,289.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.