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Finding the Third Proportional to 1,706,597 and 3,656,085

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Solution

The third proportional to 1,706,597 and 3,656,085 is: 7,832,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,597 : 3,656,085 = 3,656,085 : x
  2. Step 2: Convert to fraction form
    1,706,597/3,656,085 = 3,656,085/x
  3. Step 3: Cross multiply
    1,706,597x = 3,656,085 × 3,656,085
  4. Step 4: Simplify right side
    1,706,597x = 13,366,957,527,225
  5. Step 5: Solve for x
    x = 13,366,957,527,225/1,706,597
  6. Step 6: Final answer
    x = 7,832,521.40

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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.