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Finding the Third Proportional to 796,506,019 and 1,246,724,031

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Solution

The third proportional to 796,506,019 and 1,246,724,031 is: 1,951,423,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,506,019 : 1,246,724,031 = 1,246,724,031 : x
  2. Step 2: Convert to fraction form
    796,506,019/1,246,724,031 = 1,246,724,031/x
  3. Step 3: Cross multiply
    796,506,019x = 1,246,724,031 × 1,246,724,031
  4. Step 4: Simplify right side
    796,506,019x = 1,554,320,809,472,889,088
  5. Step 5: Solve for x
    x = 1,554,320,809,472,889,088/796,506,019
  6. Step 6: Final answer
    x = 1,951,423,808.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.