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Finding the Third Proportional to 592,440 and 846,597

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Solution

The third proportional to 592,440 and 846,597 is: 1,209,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,440 : 846,597 = 846,597 : x
  2. Step 2: Convert to fraction form
    592,440/846,597 = 846,597/x
  3. Step 3: Cross multiply
    592,440x = 846,597 × 846,597
  4. Step 4: Simplify right side
    592,440x = 716,726,480,409
  5. Step 5: Solve for x
    x = 716,726,480,409/592,440
  6. Step 6: Final answer
    x = 1,209,787.46

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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.