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Finding the Third Proportional to 410,167,050.75 and 898,134,831

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Solution

The third proportional to 410,167,050.75 and 898,134,831 is: 1,966,628,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,167,050.75 : 898,134,831 = 898,134,831 : x
  2. Step 2: Convert to fraction form
    410,167,050.75/898,134,831 = 898,134,831/x
  3. Step 3: Cross multiply
    410,167,050.75x = 898,134,831 × 898,134,831
  4. Step 4: Simplify right side
    410,167,050.75x = 806,646,174,655,398,528
  5. Step 5: Solve for x
    x = 806,646,174,655,398,528/410,167,050.75
  6. Step 6: Final answer
    x = 1,966,628,409.52

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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.