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Finding the Third Proportional to 864,140 and 1,893,586

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Solution

The third proportional to 864,140 and 1,893,586 is: 4,149,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,140 : 1,893,586 = 1,893,586 : x
  2. Step 2: Convert to fraction form
    864,140/1,893,586 = 1,893,586/x
  3. Step 3: Cross multiply
    864,140x = 1,893,586 × 1,893,586
  4. Step 4: Simplify right side
    864,140x = 3,585,667,939,396
  5. Step 5: Solve for x
    x = 3,585,667,939,396/864,140
  6. Step 6: Final answer
    x = 4,149,406.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.