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Finding the Third Proportional to 2,160,232 and 4,727,312

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Solution

The third proportional to 2,160,232 and 4,727,312 is: 10,344,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,232 : 4,727,312 = 4,727,312 : x
  2. Step 2: Convert to fraction form
    2,160,232/4,727,312 = 4,727,312/x
  3. Step 3: Cross multiply
    2,160,232x = 4,727,312 × 4,727,312
  4. Step 4: Simplify right side
    2,160,232x = 22,347,478,745,344
  5. Step 5: Solve for x
    x = 22,347,478,745,344/2,160,232
  6. Step 6: Final answer
    x = 10,344,943.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.