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Finding the Third Proportional to 589,506 and 889,862

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Solution

The third proportional to 589,506 and 889,862 is: 1,343,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,506 : 889,862 = 889,862 : x
  2. Step 2: Convert to fraction form
    589,506/889,862 = 889,862/x
  3. Step 3: Cross multiply
    589,506x = 889,862 × 889,862
  4. Step 4: Simplify right side
    589,506x = 791,854,379,044
  5. Step 5: Solve for x
    x = 791,854,379,044/589,506
  6. Step 6: Final answer
    x = 1,343,250.75

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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.