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Finding the Third Proportional to 592,521 and 1,313,160

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Solution

The third proportional to 592,521 and 1,313,160 is: 2,910,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,521 : 1,313,160 = 1,313,160 : x
  2. Step 2: Convert to fraction form
    592,521/1,313,160 = 1,313,160/x
  3. Step 3: Cross multiply
    592,521x = 1,313,160 × 1,313,160
  4. Step 4: Simplify right side
    592,521x = 1,724,389,185,600
  5. Step 5: Solve for x
    x = 1,724,389,185,600/592,521
  6. Step 6: Final answer
    x = 2,910,258.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.