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Finding the Third Proportional to 898,814 and 1,908,436

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Solution

The third proportional to 898,814 and 1,908,436 is: 4,052,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,814 : 1,908,436 = 1,908,436 : x
  2. Step 2: Convert to fraction form
    898,814/1,908,436 = 1,908,436/x
  3. Step 3: Cross multiply
    898,814x = 1,908,436 × 1,908,436
  4. Step 4: Simplify right side
    898,814x = 3,642,127,966,096
  5. Step 5: Solve for x
    x = 3,642,127,966,096/898,814
  6. Step 6: Final answer
    x = 4,052,148.68

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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.