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Finding the Third Proportional to 817,090,512 and 1,222,740,768

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Solution

The third proportional to 817,090,512 and 1,222,740,768 is: 1,829,778,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,090,512 : 1,222,740,768 = 1,222,740,768 : x
  2. Step 2: Convert to fraction form
    817,090,512/1,222,740,768 = 1,222,740,768/x
  3. Step 3: Cross multiply
    817,090,512x = 1,222,740,768 × 1,222,740,768
  4. Step 4: Simplify right side
    817,090,512x = 1,495,094,985,729,229,824
  5. Step 5: Solve for x
    x = 1,495,094,985,729,229,824/817,090,512
  6. Step 6: Final answer
    x = 1,829,778,909.16

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