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Finding the Third Proportional to 657,984 and 1,434,948

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Solution

The third proportional to 657,984 and 1,434,948 is: 3,129,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,984 : 1,434,948 = 1,434,948 : x
  2. Step 2: Convert to fraction form
    657,984/1,434,948 = 1,434,948/x
  3. Step 3: Cross multiply
    657,984x = 1,434,948 × 1,434,948
  4. Step 4: Simplify right side
    657,984x = 2,059,075,762,704
  5. Step 5: Solve for x
    x = 2,059,075,762,704/657,984
  6. Step 6: Final answer
    x = 3,129,370.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.