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Finding the Third Proportional to 967,672 and 2,050,708

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Solution

The third proportional to 967,672 and 2,050,708 is: 4,345,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,672 : 2,050,708 = 2,050,708 : x
  2. Step 2: Convert to fraction form
    967,672/2,050,708 = 2,050,708/x
  3. Step 3: Cross multiply
    967,672x = 2,050,708 × 2,050,708
  4. Step 4: Simplify right side
    967,672x = 4,205,403,301,264
  5. Step 5: Solve for x
    x = 4,205,403,301,264/967,672
  6. Step 6: Final answer
    x = 4,345,897.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.