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Finding the Third Proportional to 802,008,260 and 1,276,152,778

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Solution

The third proportional to 802,008,260 and 1,276,152,778 is: 2,030,609,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,008,260 : 1,276,152,778 = 1,276,152,778 : x
  2. Step 2: Convert to fraction form
    802,008,260/1,276,152,778 = 1,276,152,778/x
  3. Step 3: Cross multiply
    802,008,260x = 1,276,152,778 × 1,276,152,778
  4. Step 4: Simplify right side
    802,008,260x = 1,628,565,912,797,117,184
  5. Step 5: Solve for x
    x = 1,628,565,912,797,117,184/802,008,260
  6. Step 6: Final answer
    x = 2,030,609,900.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.