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Finding the Third Proportional to 863,566,074 and 1,262,961,486

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Solution

The third proportional to 863,566,074 and 1,262,961,486 is: 1,847,075,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,566,074 : 1,262,961,486 = 1,262,961,486 : x
  2. Step 2: Convert to fraction form
    863,566,074/1,262,961,486 = 1,262,961,486/x
  3. Step 3: Cross multiply
    863,566,074x = 1,262,961,486 × 1,262,961,486
  4. Step 4: Simplify right side
    863,566,074x = 1,595,071,715,119,328,256
  5. Step 5: Solve for x
    x = 1,595,071,715,119,328,256/863,566,074
  6. Step 6: Final answer
    x = 1,847,075,473.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.