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Finding the Third Proportional to 1,034,634 and 1,596,231

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Solution

The third proportional to 1,034,634 and 1,596,231 is: 2,462,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,634 : 1,596,231 = 1,596,231 : x
  2. Step 2: Convert to fraction form
    1,034,634/1,596,231 = 1,596,231/x
  3. Step 3: Cross multiply
    1,034,634x = 1,596,231 × 1,596,231
  4. Step 4: Simplify right side
    1,034,634x = 2,547,953,405,361
  5. Step 5: Solve for x
    x = 2,547,953,405,361/1,034,634
  6. Step 6: Final answer
    x = 2,462,661.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.