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Finding the Third Proportional to 556,029 and 1,220,314.50

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Solution

The third proportional to 556,029 and 1,220,314.50 is: 2,678,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,029 : 1,220,314.50 = 1,220,314.50 : x
  2. Step 2: Convert to fraction form
    556,029/1,220,314.50 = 1,220,314.50/x
  3. Step 3: Cross multiply
    556,029x = 1,220,314.50 × 1,220,314.50
  4. Step 4: Simplify right side
    556,029x = 1,489,167,478,910.25
  5. Step 5: Solve for x
    x = 1,489,167,478,910.25/556,029
  6. Step 6: Final answer
    x = 2,678,219.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.