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Finding the Third Proportional to 503,511 and 1,065,342

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Solution

The third proportional to 503,511 and 1,065,342 is: 2,254,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,511 : 1,065,342 = 1,065,342 : x
  2. Step 2: Convert to fraction form
    503,511/1,065,342 = 1,065,342/x
  3. Step 3: Cross multiply
    503,511x = 1,065,342 × 1,065,342
  4. Step 4: Simplify right side
    503,511x = 1,134,953,576,964
  5. Step 5: Solve for x
    x = 1,134,953,576,964/503,511
  6. Step 6: Final answer
    x = 2,254,079.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.