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Finding the Third Proportional to 652,416 and 1,008,312

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Solution

The third proportional to 652,416 and 1,008,312 is: 1,558,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,416 : 1,008,312 = 1,008,312 : x
  2. Step 2: Convert to fraction form
    652,416/1,008,312 = 1,008,312/x
  3. Step 3: Cross multiply
    652,416x = 1,008,312 × 1,008,312
  4. Step 4: Simplify right side
    652,416x = 1,016,693,089,344
  5. Step 5: Solve for x
    x = 1,016,693,089,344/652,416
  6. Step 6: Final answer
    x = 1,558,350.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.