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Finding the Third Proportional to 716,478 and 1,510,716

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Solution

The third proportional to 716,478 and 1,510,716 is: 3,185,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,478 : 1,510,716 = 1,510,716 : x
  2. Step 2: Convert to fraction form
    716,478/1,510,716 = 1,510,716/x
  3. Step 3: Cross multiply
    716,478x = 1,510,716 × 1,510,716
  4. Step 4: Simplify right side
    716,478x = 2,282,262,832,656
  5. Step 5: Solve for x
    x = 2,282,262,832,656/716,478
  6. Step 6: Final answer
    x = 3,185,391.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.