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Finding the Third Proportional to 1,049,063,170 and 1,539,582,403

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Solution

The third proportional to 1,049,063,170 and 1,539,582,403 is: 2,259,457,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,063,170 : 1,539,582,403 = 1,539,582,403 : x
  2. Step 2: Convert to fraction form
    1,049,063,170/1,539,582,403 = 1,539,582,403/x
  3. Step 3: Cross multiply
    1,049,063,170x = 1,539,582,403 × 1,539,582,403
  4. Step 4: Simplify right side
    1,049,063,170x = 2,370,313,975,627,254,272
  5. Step 5: Solve for x
    x = 2,370,313,975,627,254,272/1,049,063,170
  6. Step 6: Final answer
    x = 2,259,457,812.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.