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Finding the Third Proportional to 898,798 and 1,908,404

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Solution

The third proportional to 898,798 and 1,908,404 is: 4,052,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,798 : 1,908,404 = 1,908,404 : x
  2. Step 2: Convert to fraction form
    898,798/1,908,404 = 1,908,404/x
  3. Step 3: Cross multiply
    898,798x = 1,908,404 × 1,908,404
  4. Step 4: Simplify right side
    898,798x = 3,642,005,827,216
  5. Step 5: Solve for x
    x = 3,642,005,827,216/898,798
  6. Step 6: Final answer
    x = 4,052,084.93

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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.