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Finding the Third Proportional to 623,943 and 987,133

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Solution

The third proportional to 623,943 and 987,133 is: 1,561,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,943 : 987,133 = 987,133 : x
  2. Step 2: Convert to fraction form
    623,943/987,133 = 987,133/x
  3. Step 3: Cross multiply
    623,943x = 987,133 × 987,133
  4. Step 4: Simplify right side
    623,943x = 974,431,559,689
  5. Step 5: Solve for x
    x = 974,431,559,689/623,943
  6. Step 6: Final answer
    x = 1,561,731.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.