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Finding the Third Proportional to 901,046 and 1,259,715

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Solution

The third proportional to 901,046 and 1,259,715 is: 1,761,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,046 : 1,259,715 = 1,259,715 : x
  2. Step 2: Convert to fraction form
    901,046/1,259,715 = 1,259,715/x
  3. Step 3: Cross multiply
    901,046x = 1,259,715 × 1,259,715
  4. Step 4: Simplify right side
    901,046x = 1,586,881,881,225
  5. Step 5: Solve for x
    x = 1,586,881,881,225/901,046
  6. Step 6: Final answer
    x = 1,761,155.24

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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.