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Finding the Third Proportional to 619,428 and 937,714

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Solution

The third proportional to 619,428 and 937,714 is: 1,419,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,428 : 937,714 = 937,714 : x
  2. Step 2: Convert to fraction form
    619,428/937,714 = 937,714/x
  3. Step 3: Cross multiply
    619,428x = 937,714 × 937,714
  4. Step 4: Simplify right side
    619,428x = 879,307,545,796
  5. Step 5: Solve for x
    x = 879,307,545,796/619,428
  6. Step 6: Final answer
    x = 1,419,547.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.