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Finding the Third Proportional to 789,654 and 1,125,417

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Solution

The third proportional to 789,654 and 1,125,417 is: 1,603,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,654 : 1,125,417 = 1,125,417 : x
  2. Step 2: Convert to fraction form
    789,654/1,125,417 = 1,125,417/x
  3. Step 3: Cross multiply
    789,654x = 1,125,417 × 1,125,417
  4. Step 4: Simplify right side
    789,654x = 1,266,563,423,889
  5. Step 5: Solve for x
    x = 1,266,563,423,889/789,654
  6. Step 6: Final answer
    x = 1,603,947.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.