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Finding the Third Proportional to 858,417.75 and 1,849,695.75

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Solution

The third proportional to 858,417.75 and 1,849,695.75 is: 3,985,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,417.75 : 1,849,695.75 = 1,849,695.75 : x
  2. Step 2: Convert to fraction form
    858,417.75/1,849,695.75 = 1,849,695.75/x
  3. Step 3: Cross multiply
    858,417.75x = 1,849,695.75 × 1,849,695.75
  4. Step 4: Simplify right side
    858,417.75x = 3,421,374,367,568.06
  5. Step 5: Solve for x
    x = 3,421,374,367,568.06/858,417.75
  6. Step 6: Final answer
    x = 3,985,675.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.