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Finding the Third Proportional to 623,480 and 1,004,074

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Solution

The third proportional to 623,480 and 1,004,074 is: 1,616,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,480 : 1,004,074 = 1,004,074 : x
  2. Step 2: Convert to fraction form
    623,480/1,004,074 = 1,004,074/x
  3. Step 3: Cross multiply
    623,480x = 1,004,074 × 1,004,074
  4. Step 4: Simplify right side
    623,480x = 1,008,164,597,476
  5. Step 5: Solve for x
    x = 1,008,164,597,476/623,480
  6. Step 6: Final answer
    x = 1,616,995.89

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.