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Finding the Third Proportional to 605,410 and 912,726

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Solution

The third proportional to 605,410 and 912,726 is: 1,376,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,410 : 912,726 = 912,726 : x
  2. Step 2: Convert to fraction form
    605,410/912,726 = 912,726/x
  3. Step 3: Cross multiply
    605,410x = 912,726 × 912,726
  4. Step 4: Simplify right side
    605,410x = 833,068,751,076
  5. Step 5: Solve for x
    x = 833,068,751,076/605,410
  6. Step 6: Final answer
    x = 1,376,040.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.