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Finding the Third Proportional to 657,912 and 1,409,232

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Solution

The third proportional to 657,912 and 1,409,232 is: 3,018,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,912 : 1,409,232 = 1,409,232 : x
  2. Step 2: Convert to fraction form
    657,912/1,409,232 = 1,409,232/x
  3. Step 3: Cross multiply
    657,912x = 1,409,232 × 1,409,232
  4. Step 4: Simplify right side
    657,912x = 1,985,934,829,824
  5. Step 5: Solve for x
    x = 1,985,934,829,824/657,912
  6. Step 6: Final answer
    x = 3,018,541.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.