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Finding the Third Proportional to 817,090,514 and 1,222,740,771

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Solution

The third proportional to 817,090,514 and 1,222,740,771 is: 1,829,778,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,090,514 : 1,222,740,771 = 1,222,740,771 : x
  2. Step 2: Convert to fraction form
    817,090,514/1,222,740,771 = 1,222,740,771/x
  3. Step 3: Cross multiply
    817,090,514x = 1,222,740,771 × 1,222,740,771
  4. Step 4: Simplify right side
    817,090,514x = 1,495,094,993,065,674,496
  5. Step 5: Solve for x
    x = 1,495,094,993,065,674,496/817,090,514
  6. Step 6: Final answer
    x = 1,829,778,913.66

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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.