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Finding the Third Proportional to 1,034,600 and 1,596,184.50

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Solution

The third proportional to 1,034,600 and 1,596,184.50 is: 2,462,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,600 : 1,596,184.50 = 1,596,184.50 : x
  2. Step 2: Convert to fraction form
    1,034,600/1,596,184.50 = 1,596,184.50/x
  3. Step 3: Cross multiply
    1,034,600x = 1,596,184.50 × 1,596,184.50
  4. Step 4: Simplify right side
    1,034,600x = 2,547,804,958,040.25
  5. Step 5: Solve for x
    x = 2,547,804,958,040.25/1,034,600
  6. Step 6: Final answer
    x = 2,462,599.03

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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.