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Finding the Third Proportional to 604,174,902 and 1,301,315,073

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Solution

The third proportional to 604,174,902 and 1,301,315,073 is: 2,802,865,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,174,902 : 1,301,315,073 = 1,301,315,073 : x
  2. Step 2: Convert to fraction form
    604,174,902/1,301,315,073 = 1,301,315,073/x
  3. Step 3: Cross multiply
    604,174,902x = 1,301,315,073 × 1,301,315,073
  4. Step 4: Simplify right side
    604,174,902x = 1,693,420,919,216,995,328
  5. Step 5: Solve for x
    x = 1,693,420,919,216,995,328/604,174,902
  6. Step 6: Final answer
    x = 2,802,865,384.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.