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Finding the Third Proportional to 456,814,080 and 676,925,343

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Solution

The third proportional to 456,814,080 and 676,925,343 is: 1,003,095,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,814,080 : 676,925,343 = 676,925,343 : x
  2. Step 2: Convert to fraction form
    456,814,080/676,925,343 = 676,925,343/x
  3. Step 3: Cross multiply
    456,814,080x = 676,925,343 × 676,925,343
  4. Step 4: Simplify right side
    456,814,080x = 458,227,919,995,667,648
  5. Step 5: Solve for x
    x = 458,227,919,995,667,648/456,814,080
  6. Step 6: Final answer
    x = 1,003,095,000.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.