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Finding the Third Proportional to 624,854 and 1,294,018

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Solution

The third proportional to 624,854 and 1,294,018 is: 2,679,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,854 : 1,294,018 = 1,294,018 : x
  2. Step 2: Convert to fraction form
    624,854/1,294,018 = 1,294,018/x
  3. Step 3: Cross multiply
    624,854x = 1,294,018 × 1,294,018
  4. Step 4: Simplify right side
    624,854x = 1,674,482,584,324
  5. Step 5: Solve for x
    x = 1,674,482,584,324/624,854
  6. Step 6: Final answer
    x = 2,679,798.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.