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Finding the Third Proportional to 590,866 and 886,076

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Solution

The third proportional to 590,866 and 886,076 is: 1,328,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,866 : 886,076 = 886,076 : x
  2. Step 2: Convert to fraction form
    590,866/886,076 = 886,076/x
  3. Step 3: Cross multiply
    590,866x = 886,076 × 886,076
  4. Step 4: Simplify right side
    590,866x = 785,130,677,776
  5. Step 5: Solve for x
    x = 785,130,677,776/590,866
  6. Step 6: Final answer
    x = 1,328,779.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.