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Finding the Third Proportional to 402,794,964 and 621,985,890

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Solution

The third proportional to 402,794,964 and 621,985,890 is: 960,455,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,794,964 : 621,985,890 = 621,985,890 : x
  2. Step 2: Convert to fraction form
    402,794,964/621,985,890 = 621,985,890/x
  3. Step 3: Cross multiply
    402,794,964x = 621,985,890 × 621,985,890
  4. Step 4: Simplify right side
    402,794,964x = 386,866,447,359,092,096
  5. Step 5: Solve for x
    x = 386,866,447,359,092,096/402,794,964
  6. Step 6: Final answer
    x = 960,455,025.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.