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Finding the Third Proportional to 1,142,523,834 and 1,578,708,389

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Solution

The third proportional to 1,142,523,834 and 1,578,708,389 is: 2,181,416,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,523,834 : 1,578,708,389 = 1,578,708,389 : x
  2. Step 2: Convert to fraction form
    1,142,523,834/1,578,708,389 = 1,578,708,389/x
  3. Step 3: Cross multiply
    1,142,523,834x = 1,578,708,389 × 1,578,708,389
  4. Step 4: Simplify right side
    1,142,523,834x = 2,492,320,177,498,975,232
  5. Step 5: Solve for x
    x = 2,492,320,177,498,975,232/1,142,523,834
  6. Step 6: Final answer
    x = 2,181,416,355.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.