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Finding the Third Proportional to 579,906 and 1,249,623

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Solution

The third proportional to 579,906 and 1,249,623 is: 2,692,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,906 : 1,249,623 = 1,249,623 : x
  2. Step 2: Convert to fraction form
    579,906/1,249,623 = 1,249,623/x
  3. Step 3: Cross multiply
    579,906x = 1,249,623 × 1,249,623
  4. Step 4: Simplify right side
    579,906x = 1,561,557,642,129
  5. Step 5: Solve for x
    x = 1,561,557,642,129/579,906
  6. Step 6: Final answer
    x = 2,692,777.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.