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Finding the Third Proportional to 623,142 and 933,681

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Solution

The third proportional to 623,142 and 933,681 is: 1,398,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,142 : 933,681 = 933,681 : x
  2. Step 2: Convert to fraction form
    623,142/933,681 = 933,681/x
  3. Step 3: Cross multiply
    623,142x = 933,681 × 933,681
  4. Step 4: Simplify right side
    623,142x = 871,760,209,761
  5. Step 5: Solve for x
    x = 871,760,209,761/623,142
  6. Step 6: Final answer
    x = 1,398,975.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.