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Finding the Third Proportional to 1,306,883 and 2,830,964

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Solution

The third proportional to 1,306,883 and 2,830,964 is: 6,132,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,883 : 2,830,964 = 2,830,964 : x
  2. Step 2: Convert to fraction form
    1,306,883/2,830,964 = 2,830,964/x
  3. Step 3: Cross multiply
    1,306,883x = 2,830,964 × 2,830,964
  4. Step 4: Simplify right side
    1,306,883x = 8,014,357,169,296
  5. Step 5: Solve for x
    x = 8,014,357,169,296/1,306,883
  6. Step 6: Final answer
    x = 6,132,421.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.