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Finding the Third Proportional to 589,624 and 935,148

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Solution

The third proportional to 589,624 and 935,148 is: 1,483,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,624 : 935,148 = 935,148 : x
  2. Step 2: Convert to fraction form
    589,624/935,148 = 935,148/x
  3. Step 3: Cross multiply
    589,624x = 935,148 × 935,148
  4. Step 4: Simplify right side
    589,624x = 874,501,781,904
  5. Step 5: Solve for x
    x = 874,501,781,904/589,624
  6. Step 6: Final answer
    x = 1,483,151.60

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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.