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Finding the Third Proportional to 945,151 and 2,021,521

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Solution

The third proportional to 945,151 and 2,021,521 is: 4,323,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,151 : 2,021,521 = 2,021,521 : x
  2. Step 2: Convert to fraction form
    945,151/2,021,521 = 2,021,521/x
  3. Step 3: Cross multiply
    945,151x = 2,021,521 × 2,021,521
  4. Step 4: Simplify right side
    945,151x = 4,086,547,153,441
  5. Step 5: Solve for x
    x = 4,086,547,153,441/945,151
  6. Step 6: Final answer
    x = 4,323,697.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.