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Finding the Third Proportional to 362,167,720 and 784,502,146

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Solution

The third proportional to 362,167,720 and 784,502,146 is: 1,699,333,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,167,720 : 784,502,146 = 784,502,146 : x
  2. Step 2: Convert to fraction form
    362,167,720/784,502,146 = 784,502,146/x
  3. Step 3: Cross multiply
    362,167,720x = 784,502,146 × 784,502,146
  4. Step 4: Simplify right side
    362,167,720x = 615,443,617,078,605,312
  5. Step 5: Solve for x
    x = 615,443,617,078,605,312/362,167,720
  6. Step 6: Final answer
    x = 1,699,333,162.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.