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Finding the Third Proportional to 602,784 and 886,032

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Solution

The third proportional to 602,784 and 886,032 is: 1,302,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,784 : 886,032 = 886,032 : x
  2. Step 2: Convert to fraction form
    602,784/886,032 = 886,032/x
  3. Step 3: Cross multiply
    602,784x = 886,032 × 886,032
  4. Step 4: Simplify right side
    602,784x = 785,052,705,024
  5. Step 5: Solve for x
    x = 785,052,705,024/602,784
  6. Step 6: Final answer
    x = 1,302,378.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.