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Finding the Third Proportional to 1,172,864.81 and 2,535,431.63

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Solution

The third proportional to 1,172,864.81 and 2,535,431.63 is: 5,480,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,864.81 : 2,535,431.63 = 2,535,431.63 : x
  2. Step 2: Convert to fraction form
    1,172,864.81/2,535,431.63 = 2,535,431.63/x
  3. Step 3: Cross multiply
    1,172,864.81x = 2,535,431.63 × 2,535,431.63
  4. Step 4: Simplify right side
    1,172,864.81x = 6,428,413,525,050.14
  5. Step 5: Solve for x
    x = 6,428,413,525,050.14/1,172,864.81
  6. Step 6: Final answer
    x = 5,480,950.11

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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.