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Finding the Third Proportional to 790,089 and 1,706,289

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Solution

The third proportional to 790,089 and 1,706,289 is: 3,684,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,089 : 1,706,289 = 1,706,289 : x
  2. Step 2: Convert to fraction form
    790,089/1,706,289 = 1,706,289/x
  3. Step 3: Cross multiply
    790,089x = 1,706,289 × 1,706,289
  4. Step 4: Simplify right side
    790,089x = 2,911,422,151,521
  5. Step 5: Solve for x
    x = 2,911,422,151,521/790,089
  6. Step 6: Final answer
    x = 3,684,929.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.