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Finding the Third Proportional to 710,734 and 1,554,329

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Solution

The third proportional to 710,734 and 1,554,329 is: 3,399,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,734 : 1,554,329 = 1,554,329 : x
  2. Step 2: Convert to fraction form
    710,734/1,554,329 = 1,554,329/x
  3. Step 3: Cross multiply
    710,734x = 1,554,329 × 1,554,329
  4. Step 4: Simplify right side
    710,734x = 2,415,938,640,241
  5. Step 5: Solve for x
    x = 2,415,938,640,241/710,734
  6. Step 6: Final answer
    x = 3,399,216.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.