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Finding the Third Proportional to 469,484 and 1,025,000

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Solution

The third proportional to 469,484 and 1,025,000 is: 2,237,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,484 : 1,025,000 = 1,025,000 : x
  2. Step 2: Convert to fraction form
    469,484/1,025,000 = 1,025,000/x
  3. Step 3: Cross multiply
    469,484x = 1,025,000 × 1,025,000
  4. Step 4: Simplify right side
    469,484x = 1,050,625,000,000
  5. Step 5: Solve for x
    x = 1,050,625,000,000/469,484
  6. Step 6: Final answer
    x = 2,237,829.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.