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Finding the Third Proportional to 632,370 and 1,370,553

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Solution

The third proportional to 632,370 and 1,370,553 is: 2,970,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,370 : 1,370,553 = 1,370,553 : x
  2. Step 2: Convert to fraction form
    632,370/1,370,553 = 1,370,553/x
  3. Step 3: Cross multiply
    632,370x = 1,370,553 × 1,370,553
  4. Step 4: Simplify right side
    632,370x = 1,878,415,525,809
  5. Step 5: Solve for x
    x = 1,878,415,525,809/632,370
  6. Step 6: Final answer
    x = 2,970,437.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.