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Finding the Third Proportional to 592,444 and 846,602

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Solution

The third proportional to 592,444 and 846,602 is: 1,209,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,444 : 846,602 = 846,602 : x
  2. Step 2: Convert to fraction form
    592,444/846,602 = 846,602/x
  3. Step 3: Cross multiply
    592,444x = 846,602 × 846,602
  4. Step 4: Simplify right side
    592,444x = 716,734,946,404
  5. Step 5: Solve for x
    x = 716,734,946,404/592,444
  6. Step 6: Final answer
    x = 1,209,793.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.