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Finding the Third Proportional to 910,661 and 1,336,464

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Solution

The third proportional to 910,661 and 1,336,464 is: 1,961,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,661 : 1,336,464 = 1,336,464 : x
  2. Step 2: Convert to fraction form
    910,661/1,336,464 = 1,336,464/x
  3. Step 3: Cross multiply
    910,661x = 1,336,464 × 1,336,464
  4. Step 4: Simplify right side
    910,661x = 1,786,136,023,296
  5. Step 5: Solve for x
    x = 1,786,136,023,296/910,661
  6. Step 6: Final answer
    x = 1,961,362.16

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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.