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Finding the Third Proportional to 931,688 and 2,006,032

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Solution

The third proportional to 931,688 and 2,006,032 is: 4,319,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,688 : 2,006,032 = 2,006,032 : x
  2. Step 2: Convert to fraction form
    931,688/2,006,032 = 2,006,032/x
  3. Step 3: Cross multiply
    931,688x = 2,006,032 × 2,006,032
  4. Step 4: Simplify right side
    931,688x = 4,024,164,385,024
  5. Step 5: Solve for x
    x = 4,024,164,385,024/931,688
  6. Step 6: Final answer
    x = 4,319,218.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.