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Finding the Third Proportional to 612,875,906 and 859,986,219

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Solution

The third proportional to 612,875,906 and 859,986,219 is: 1,206,730,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,875,906 : 859,986,219 = 859,986,219 : x
  2. Step 2: Convert to fraction form
    612,875,906/859,986,219 = 859,986,219/x
  3. Step 3: Cross multiply
    612,875,906x = 859,986,219 × 859,986,219
  4. Step 4: Simplify right side
    612,875,906x = 739,576,296,869,915,904
  5. Step 5: Solve for x
    x = 739,576,296,869,915,904/612,875,906
  6. Step 6: Final answer
    x = 1,206,730,905.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.