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Finding the Third Proportional to 1,458,499.50 and 2,307,624

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Solution

The third proportional to 1,458,499.50 and 2,307,624 is: 3,651,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,499.50 : 2,307,624 = 2,307,624 : x
  2. Step 2: Convert to fraction form
    1,458,499.50/2,307,624 = 2,307,624/x
  3. Step 3: Cross multiply
    1,458,499.50x = 2,307,624 × 2,307,624
  4. Step 4: Simplify right side
    1,458,499.50x = 5,325,128,525,376
  5. Step 5: Solve for x
    x = 5,325,128,525,376/1,458,499.50
  6. Step 6: Final answer
    x = 3,651,100.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.