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Finding the Third Proportional to 688,368 and 1,012,288

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Solution

The third proportional to 688,368 and 1,012,288 is: 1,488,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,368 : 1,012,288 = 1,012,288 : x
  2. Step 2: Convert to fraction form
    688,368/1,012,288 = 1,012,288/x
  3. Step 3: Cross multiply
    688,368x = 1,012,288 × 1,012,288
  4. Step 4: Simplify right side
    688,368x = 1,024,726,994,944
  5. Step 5: Solve for x
    x = 1,024,726,994,944/688,368
  6. Step 6: Final answer
    x = 1,488,632.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.