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Finding the Third Proportional to 478,314 and 1,006,200

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Solution

The third proportional to 478,314 and 1,006,200 is: 2,116,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,314 : 1,006,200 = 1,006,200 : x
  2. Step 2: Convert to fraction form
    478,314/1,006,200 = 1,006,200/x
  3. Step 3: Cross multiply
    478,314x = 1,006,200 × 1,006,200
  4. Step 4: Simplify right side
    478,314x = 1,012,438,440,000
  5. Step 5: Solve for x
    x = 1,012,438,440,000/478,314
  6. Step 6: Final answer
    x = 2,116,681.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.