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Finding the Third Proportional to 619,942 and 957,537

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Solution

The third proportional to 619,942 and 957,537 is: 1,478,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,942 : 957,537 = 957,537 : x
  2. Step 2: Convert to fraction form
    619,942/957,537 = 957,537/x
  3. Step 3: Cross multiply
    619,942x = 957,537 × 957,537
  4. Step 4: Simplify right side
    619,942x = 916,877,106,369
  5. Step 5: Solve for x
    x = 916,877,106,369/619,942
  6. Step 6: Final answer
    x = 1,478,972.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.