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Finding the Third Proportional to 832,226,316 and 1,224,207,762

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Solution

The third proportional to 832,226,316 and 1,224,207,762 is: 1,800,813,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,226,316 : 1,224,207,762 = 1,224,207,762 : x
  2. Step 2: Convert to fraction form
    832,226,316/1,224,207,762 = 1,224,207,762/x
  3. Step 3: Cross multiply
    832,226,316x = 1,224,207,762 × 1,224,207,762
  4. Step 4: Simplify right side
    832,226,316x = 1,498,684,644,541,048,576
  5. Step 5: Solve for x
    x = 1,498,684,644,541,048,576/832,226,316
  6. Step 6: Final answer
    x = 1,800,813,811.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.