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Finding the Third Proportional to 896,780,915 and 1,262,314,841

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Solution

The third proportional to 896,780,915 and 1,262,314,841 is: 1,776,842,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,780,915 : 1,262,314,841 = 1,262,314,841 : x
  2. Step 2: Convert to fraction form
    896,780,915/1,262,314,841 = 1,262,314,841/x
  3. Step 3: Cross multiply
    896,780,915x = 1,262,314,841 × 1,262,314,841
  4. Step 4: Simplify right side
    896,780,915x = 1,593,438,757,808,855,296
  5. Step 5: Solve for x
    x = 1,593,438,757,808,855,296/896,780,915
  6. Step 6: Final answer
    x = 1,776,842,851.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.