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Finding the Third Proportional to 592,504 and 893,986

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Solution

The third proportional to 592,504 and 893,986 is: 1,348,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,504 : 893,986 = 893,986 : x
  2. Step 2: Convert to fraction form
    592,504/893,986 = 893,986/x
  3. Step 3: Cross multiply
    592,504x = 893,986 × 893,986
  4. Step 4: Simplify right side
    592,504x = 799,210,968,196
  5. Step 5: Solve for x
    x = 799,210,968,196/592,504
  6. Step 6: Final answer
    x = 1,348,870.16

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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.