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Finding the Third Proportional to 759,803,822 and 1,135,233,030

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Solution

The third proportional to 759,803,822 and 1,135,233,030 is: 1,696,166,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,803,822 : 1,135,233,030 = 1,135,233,030 : x
  2. Step 2: Convert to fraction form
    759,803,822/1,135,233,030 = 1,135,233,030/x
  3. Step 3: Cross multiply
    759,803,822x = 1,135,233,030 × 1,135,233,030
  4. Step 4: Simplify right side
    759,803,822x = 1,288,754,032,402,980,864
  5. Step 5: Solve for x
    x = 1,288,754,032,402,980,864/759,803,822
  6. Step 6: Final answer
    x = 1,696,166,819.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.