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Finding the Third Proportional to 661,428 and 1,048,716

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Solution

The third proportional to 661,428 and 1,048,716 is: 1,662,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,428 : 1,048,716 = 1,048,716 : x
  2. Step 2: Convert to fraction form
    661,428/1,048,716 = 1,048,716/x
  3. Step 3: Cross multiply
    661,428x = 1,048,716 × 1,048,716
  4. Step 4: Simplify right side
    661,428x = 1,099,805,248,656
  5. Step 5: Solve for x
    x = 1,099,805,248,656/661,428
  6. Step 6: Final answer
    x = 1,662,773.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.