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Finding the Third Proportional to 847,759,544 and 1,145,038,248

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Solution

The third proportional to 847,759,544 and 1,145,038,248 is: 1,546,561,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,759,544 : 1,145,038,248 = 1,145,038,248 : x
  2. Step 2: Convert to fraction form
    847,759,544/1,145,038,248 = 1,145,038,248/x
  3. Step 3: Cross multiply
    847,759,544x = 1,145,038,248 × 1,145,038,248
  4. Step 4: Simplify right side
    847,759,544x = 1,311,112,589,382,909,440
  5. Step 5: Solve for x
    x = 1,311,112,589,382,909,440/847,759,544
  6. Step 6: Final answer
    x = 1,546,561,874.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.