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Finding the Third Proportional to 673,706 and 1,035,291

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Solution

The third proportional to 673,706 and 1,035,291 is: 1,590,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,706 : 1,035,291 = 1,035,291 : x
  2. Step 2: Convert to fraction form
    673,706/1,035,291 = 1,035,291/x
  3. Step 3: Cross multiply
    673,706x = 1,035,291 × 1,035,291
  4. Step 4: Simplify right side
    673,706x = 1,071,827,454,681
  5. Step 5: Solve for x
    x = 1,071,827,454,681/673,706
  6. Step 6: Final answer
    x = 1,590,942.42

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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.