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Finding the Third Proportional to 1,506,099 and 2,262,436.50

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Solution

The third proportional to 1,506,099 and 2,262,436.50 is: 3,398,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,099 : 2,262,436.50 = 2,262,436.50 : x
  2. Step 2: Convert to fraction form
    1,506,099/2,262,436.50 = 2,262,436.50/x
  3. Step 3: Cross multiply
    1,506,099x = 2,262,436.50 × 2,262,436.50
  4. Step 4: Simplify right side
    1,506,099x = 5,118,618,916,532.25
  5. Step 5: Solve for x
    x = 5,118,618,916,532.25/1,506,099
  6. Step 6: Final answer
    x = 3,398,593.93

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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.