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Finding the Third Proportional to 630,461.25 and 1,349,496

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Solution

The third proportional to 630,461.25 and 1,349,496 is: 2,888,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,461.25 : 1,349,496 = 1,349,496 : x
  2. Step 2: Convert to fraction form
    630,461.25/1,349,496 = 1,349,496/x
  3. Step 3: Cross multiply
    630,461.25x = 1,349,496 × 1,349,496
  4. Step 4: Simplify right side
    630,461.25x = 1,821,139,454,016
  5. Step 5: Solve for x
    x = 1,821,139,454,016/630,461.25
  6. Step 6: Final answer
    x = 2,888,582.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.