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Finding the Third Proportional to 657,596 and 1,436,944

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Solution

The third proportional to 657,596 and 1,436,944 is: 3,139,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,596 : 1,436,944 = 1,436,944 : x
  2. Step 2: Convert to fraction form
    657,596/1,436,944 = 1,436,944/x
  3. Step 3: Cross multiply
    657,596x = 1,436,944 × 1,436,944
  4. Step 4: Simplify right side
    657,596x = 2,064,808,059,136
  5. Step 5: Solve for x
    x = 2,064,808,059,136/657,596
  6. Step 6: Final answer
    x = 3,139,934.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.