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Finding the Third Proportional to 2,231,140 and 4,594,328

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Solution

The third proportional to 2,231,140 and 4,594,328 is: 9,460,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,140 : 4,594,328 = 4,594,328 : x
  2. Step 2: Convert to fraction form
    2,231,140/4,594,328 = 4,594,328/x
  3. Step 3: Cross multiply
    2,231,140x = 4,594,328 × 4,594,328
  4. Step 4: Simplify right side
    2,231,140x = 21,107,849,771,584
  5. Step 5: Solve for x
    x = 21,107,849,771,584/2,231,140
  6. Step 6: Final answer
    x = 9,460,567.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.