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Finding the Third Proportional to 1,576,688 and 3,458,580

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Solution

The third proportional to 1,576,688 and 3,458,580 is: 7,586,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,688 : 3,458,580 = 3,458,580 : x
  2. Step 2: Convert to fraction form
    1,576,688/3,458,580 = 3,458,580/x
  3. Step 3: Cross multiply
    1,576,688x = 3,458,580 × 3,458,580
  4. Step 4: Simplify right side
    1,576,688x = 11,961,775,616,400
  5. Step 5: Solve for x
    x = 11,961,775,616,400/1,576,688
  6. Step 6: Final answer
    x = 7,586,647.21

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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.