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Finding the Third Proportional to 602,022 and 881,437

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Solution

The third proportional to 602,022 and 881,437 is: 1,290,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,022 : 881,437 = 881,437 : x
  2. Step 2: Convert to fraction form
    602,022/881,437 = 881,437/x
  3. Step 3: Cross multiply
    602,022x = 881,437 × 881,437
  4. Step 4: Simplify right side
    602,022x = 776,931,184,969
  5. Step 5: Solve for x
    x = 776,931,184,969/602,022
  6. Step 6: Final answer
    x = 1,290,536.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.