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Finding the Third Proportional to 473,798 and 1,012,716

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Solution

The third proportional to 473,798 and 1,012,716 is: 2,164,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,798 : 1,012,716 = 1,012,716 : x
  2. Step 2: Convert to fraction form
    473,798/1,012,716 = 1,012,716/x
  3. Step 3: Cross multiply
    473,798x = 1,012,716 × 1,012,716
  4. Step 4: Simplify right side
    473,798x = 1,025,593,696,656
  5. Step 5: Solve for x
    x = 1,025,593,696,656/473,798
  6. Step 6: Final answer
    x = 2,164,622.26

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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.