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Finding the Third Proportional to 565,762 and 1,220,097

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Solution

The third proportional to 565,762 and 1,220,097 is: 2,631,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,762 : 1,220,097 = 1,220,097 : x
  2. Step 2: Convert to fraction form
    565,762/1,220,097 = 1,220,097/x
  3. Step 3: Cross multiply
    565,762x = 1,220,097 × 1,220,097
  4. Step 4: Simplify right side
    565,762x = 1,488,636,689,409
  5. Step 5: Solve for x
    x = 1,488,636,689,409/565,762
  6. Step 6: Final answer
    x = 2,631,206.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.