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Finding the Third Proportional to 676,314 and 1,012,338

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Solution

The third proportional to 676,314 and 1,012,338 is: 1,515,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,314 : 1,012,338 = 1,012,338 : x
  2. Step 2: Convert to fraction form
    676,314/1,012,338 = 1,012,338/x
  3. Step 3: Cross multiply
    676,314x = 1,012,338 × 1,012,338
  4. Step 4: Simplify right side
    676,314x = 1,024,828,226,244
  5. Step 5: Solve for x
    x = 1,024,828,226,244/676,314
  6. Step 6: Final answer
    x = 1,515,314.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.