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Finding the Third Proportional to 785,482 and 1,710,927

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Solution

The third proportional to 785,482 and 1,710,927 is: 3,726,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,482 : 1,710,927 = 1,710,927 : x
  2. Step 2: Convert to fraction form
    785,482/1,710,927 = 1,710,927/x
  3. Step 3: Cross multiply
    785,482x = 1,710,927 × 1,710,927
  4. Step 4: Simplify right side
    785,482x = 2,927,271,199,329
  5. Step 5: Solve for x
    x = 2,927,271,199,329/785,482
  6. Step 6: Final answer
    x = 3,726,719.64

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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.