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Finding the Third Proportional to 592,994 and 1,306,948

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Solution

The third proportional to 592,994 and 1,306,948 is: 2,880,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,994 : 1,306,948 = 1,306,948 : x
  2. Step 2: Convert to fraction form
    592,994/1,306,948 = 1,306,948/x
  3. Step 3: Cross multiply
    592,994x = 1,306,948 × 1,306,948
  4. Step 4: Simplify right side
    592,994x = 1,708,113,074,704
  5. Step 5: Solve for x
    x = 1,708,113,074,704/592,994
  6. Step 6: Final answer
    x = 2,880,489.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.