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Finding the Third Proportional to 1,254,736,224 and 1,877,129,538

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Solution

The third proportional to 1,254,736,224 and 1,877,129,538 is: 2,808,251,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254,736,224 : 1,877,129,538 = 1,877,129,538 : x
  2. Step 2: Convert to fraction form
    1,254,736,224/1,877,129,538 = 1,877,129,538/x
  3. Step 3: Cross multiply
    1,254,736,224x = 1,877,129,538 × 1,877,129,538
  4. Step 4: Simplify right side
    1,254,736,224x = 3,523,615,302,432,093,696
  5. Step 5: Solve for x
    x = 3,523,615,302,432,093,696/1,254,736,224
  6. Step 6: Final answer
    x = 2,808,251,834.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.