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Finding the Third Proportional to 1,153,506 and 2,524,141.50

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Solution

The third proportional to 1,153,506 and 2,524,141.50 is: 5,523,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,506 : 2,524,141.50 = 2,524,141.50 : x
  2. Step 2: Convert to fraction form
    1,153,506/2,524,141.50 = 2,524,141.50/x
  3. Step 3: Cross multiply
    1,153,506x = 2,524,141.50 × 2,524,141.50
  4. Step 4: Simplify right side
    1,153,506x = 6,371,290,312,022.25
  5. Step 5: Solve for x
    x = 6,371,290,312,022.25/1,153,506
  6. Step 6: Final answer
    x = 5,523,413.24

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Why These Related Problems?

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