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Finding the Third Proportional to 718,406 and 1,046,017

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Solution

The third proportional to 718,406 and 1,046,017 is: 1,523,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,406 : 1,046,017 = 1,046,017 : x
  2. Step 2: Convert to fraction form
    718,406/1,046,017 = 1,046,017/x
  3. Step 3: Cross multiply
    718,406x = 1,046,017 × 1,046,017
  4. Step 4: Simplify right side
    718,406x = 1,094,151,564,289
  5. Step 5: Solve for x
    x = 1,094,151,564,289/718,406
  6. Step 6: Final answer
    x = 1,523,026.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.