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Finding the Third Proportional to 768,688 and 1,123,410

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Solution

The third proportional to 768,688 and 1,123,410 is: 1,641,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,688 : 1,123,410 = 1,123,410 : x
  2. Step 2: Convert to fraction form
    768,688/1,123,410 = 1,123,410/x
  3. Step 3: Cross multiply
    768,688x = 1,123,410 × 1,123,410
  4. Step 4: Simplify right side
    768,688x = 1,262,050,028,100
  5. Step 5: Solve for x
    x = 1,262,050,028,100/768,688
  6. Step 6: Final answer
    x = 1,641,823.51

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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.