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Finding the Third Proportional to 478,668 and 1,036,584

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Solution

The third proportional to 478,668 and 1,036,584 is: 2,244,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,668 : 1,036,584 = 1,036,584 : x
  2. Step 2: Convert to fraction form
    478,668/1,036,584 = 1,036,584/x
  3. Step 3: Cross multiply
    478,668x = 1,036,584 × 1,036,584
  4. Step 4: Simplify right side
    478,668x = 1,074,506,389,056
  5. Step 5: Solve for x
    x = 1,074,506,389,056/478,668
  6. Step 6: Final answer
    x = 2,244,784.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.