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Finding the Third Proportional to 466,834 and 1,018,160

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Solution

The third proportional to 466,834 and 1,018,160 is: 2,220,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,834 : 1,018,160 = 1,018,160 : x
  2. Step 2: Convert to fraction form
    466,834/1,018,160 = 1,018,160/x
  3. Step 3: Cross multiply
    466,834x = 1,018,160 × 1,018,160
  4. Step 4: Simplify right side
    466,834x = 1,036,649,785,600
  5. Step 5: Solve for x
    x = 1,036,649,785,600/466,834
  6. Step 6: Final answer
    x = 2,220,596.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.