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Finding the Third Proportional to 970,952 and 2,064,376

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Solution

The third proportional to 970,952 and 2,064,376 is: 4,389,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,952 : 2,064,376 = 2,064,376 : x
  2. Step 2: Convert to fraction form
    970,952/2,064,376 = 2,064,376/x
  3. Step 3: Cross multiply
    970,952x = 2,064,376 × 2,064,376
  4. Step 4: Simplify right side
    970,952x = 4,261,648,269,376
  5. Step 5: Solve for x
    x = 4,261,648,269,376/970,952
  6. Step 6: Final answer
    x = 4,389,144.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.