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Finding the Third Proportional to 592,392 and 893,817

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Solution

The third proportional to 592,392 and 893,817 is: 1,348,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,392 : 893,817 = 893,817 : x
  2. Step 2: Convert to fraction form
    592,392/893,817 = 893,817/x
  3. Step 3: Cross multiply
    592,392x = 893,817 × 893,817
  4. Step 4: Simplify right side
    592,392x = 798,908,829,489
  5. Step 5: Solve for x
    x = 798,908,829,489/592,392
  6. Step 6: Final answer
    x = 1,348,615.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.