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Finding the Third Proportional to 1,142,523,821 and 1,578,708,370

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Solution

The third proportional to 1,142,523,821 and 1,578,708,370 is: 2,181,416,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,523,821 : 1,578,708,370 = 1,578,708,370 : x
  2. Step 2: Convert to fraction form
    1,142,523,821/1,578,708,370 = 1,578,708,370/x
  3. Step 3: Cross multiply
    1,142,523,821x = 1,578,708,370 × 1,578,708,370
  4. Step 4: Simplify right side
    1,142,523,821x = 2,492,320,117,508,057,088
  5. Step 5: Solve for x
    x = 2,492,320,117,508,057,088/1,142,523,821
  6. Step 6: Final answer
    x = 2,181,416,327.34

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Why These Related Problems?

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