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Finding the Third Proportional to 612,875,904 and 859,986,216

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Solution

The third proportional to 612,875,904 and 859,986,216 is: 1,206,730,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,875,904 : 859,986,216 = 859,986,216 : x
  2. Step 2: Convert to fraction form
    612,875,904/859,986,216 = 859,986,216/x
  3. Step 3: Cross multiply
    612,875,904x = 859,986,216 × 859,986,216
  4. Step 4: Simplify right side
    612,875,904x = 739,576,291,709,998,592
  5. Step 5: Solve for x
    x = 739,576,291,709,998,592/612,875,904
  6. Step 6: Final answer
    x = 1,206,730,900.80

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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.