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Finding the Third Proportional to 983,731 and 1,447,464

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Solution

The third proportional to 983,731 and 1,447,464 is: 2,129,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,731 : 1,447,464 = 1,447,464 : x
  2. Step 2: Convert to fraction form
    983,731/1,447,464 = 1,447,464/x
  3. Step 3: Cross multiply
    983,731x = 1,447,464 × 1,447,464
  4. Step 4: Simplify right side
    983,731x = 2,095,152,031,296
  5. Step 5: Solve for x
    x = 2,095,152,031,296/983,731
  6. Step 6: Final answer
    x = 2,129,801.78

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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.