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Finding the Third Proportional to 1,461,397.50 and 2,186,154

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Solution

The third proportional to 1,461,397.50 and 2,186,154 is: 3,270,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,397.50 : 2,186,154 = 2,186,154 : x
  2. Step 2: Convert to fraction form
    1,461,397.50/2,186,154 = 2,186,154/x
  3. Step 3: Cross multiply
    1,461,397.50x = 2,186,154 × 2,186,154
  4. Step 4: Simplify right side
    1,461,397.50x = 4,779,269,311,716
  5. Step 5: Solve for x
    x = 4,779,269,311,716/1,461,397.50
  6. Step 6: Final answer
    x = 3,270,341.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.