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Finding the Third Proportional to 995,026 and 1,578,107

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Solution

The third proportional to 995,026 and 1,578,107 is: 2,502,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,026 : 1,578,107 = 1,578,107 : x
  2. Step 2: Convert to fraction form
    995,026/1,578,107 = 1,578,107/x
  3. Step 3: Cross multiply
    995,026x = 1,578,107 × 1,578,107
  4. Step 4: Simplify right side
    995,026x = 2,490,421,703,449
  5. Step 5: Solve for x
    x = 2,490,421,703,449/995,026
  6. Step 6: Final answer
    x = 2,502,870.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.