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Finding the Third Proportional to 597,877 and 907,887

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Solution

The third proportional to 597,877 and 907,887 is: 1,378,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,877 : 907,887 = 907,887 : x
  2. Step 2: Convert to fraction form
    597,877/907,887 = 907,887/x
  3. Step 3: Cross multiply
    597,877x = 907,887 × 907,887
  4. Step 4: Simplify right side
    597,877x = 824,258,804,769
  5. Step 5: Solve for x
    x = 824,258,804,769/597,877
  6. Step 6: Final answer
    x = 1,378,642.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.