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Finding the Third Proportional to 556,056 and 1,214,050

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Solution

The third proportional to 556,056 and 1,214,050 is: 2,650,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,056 : 1,214,050 = 1,214,050 : x
  2. Step 2: Convert to fraction form
    556,056/1,214,050 = 1,214,050/x
  3. Step 3: Cross multiply
    556,056x = 1,214,050 × 1,214,050
  4. Step 4: Simplify right side
    556,056x = 1,473,917,402,500
  5. Step 5: Solve for x
    x = 1,473,917,402,500/556,056
  6. Step 6: Final answer
    x = 2,650,663.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.