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Finding the Third Proportional to 768,492.56 and 1,146,496.78

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Solution

The third proportional to 768,492.56 and 1,146,496.78 is: 1,710,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,492.56 : 1,146,496.78 = 1,146,496.78 : x
  2. Step 2: Convert to fraction form
    768,492.56/1,146,496.78 = 1,146,496.78/x
  3. Step 3: Cross multiply
    768,492.56x = 1,146,496.78 × 1,146,496.78
  4. Step 4: Simplify right side
    768,492.56x = 1,314,454,869,416.61
  5. Step 5: Solve for x
    x = 1,314,454,869,416.61/768,492.56
  6. Step 6: Final answer
    x = 1,710,432.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.