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Finding the Third Proportional to 657,737 and 1,441,159

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Solution

The third proportional to 657,737 and 1,441,159 is: 3,157,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,737 : 1,441,159 = 1,441,159 : x
  2. Step 2: Convert to fraction form
    657,737/1,441,159 = 1,441,159/x
  3. Step 3: Cross multiply
    657,737x = 1,441,159 × 1,441,159
  4. Step 4: Simplify right side
    657,737x = 2,076,939,263,281
  5. Step 5: Solve for x
    x = 2,076,939,263,281/657,737
  6. Step 6: Final answer
    x = 3,157,704.77

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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.