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Finding the Third Proportional to 1,499,444.16 and 3,237,812.16

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Solution

The third proportional to 1,499,444.16 and 3,237,812.16 is: 6,991,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499,444.16 : 3,237,812.16 = 3,237,812.16 : x
  2. Step 2: Convert to fraction form
    1,499,444.16/3,237,812.16 = 3,237,812.16/x
  3. Step 3: Cross multiply
    1,499,444.16x = 3,237,812.16 × 3,237,812.16
  4. Step 4: Simplify right side
    1,499,444.16x = 10,483,427,559,160.27
  5. Step 5: Solve for x
    x = 10,483,427,559,160.27/1,499,444.16
  6. Step 6: Final answer
    x = 6,991,542.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.