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Finding the Third Proportional to 649,164 and 1,402,008

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Solution

The third proportional to 649,164 and 1,402,008 is: 3,027,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,164 : 1,402,008 = 1,402,008 : x
  2. Step 2: Convert to fraction form
    649,164/1,402,008 = 1,402,008/x
  3. Step 3: Cross multiply
    649,164x = 1,402,008 × 1,402,008
  4. Step 4: Simplify right side
    649,164x = 1,965,626,432,064
  5. Step 5: Solve for x
    x = 1,965,626,432,064/649,164
  6. Step 6: Final answer
    x = 3,027,935.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.