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Finding the Third Proportional to 598,575 and 1,292,106

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Solution

The third proportional to 598,575 and 1,292,106 is: 2,789,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,575 : 1,292,106 = 1,292,106 : x
  2. Step 2: Convert to fraction form
    598,575/1,292,106 = 1,292,106/x
  3. Step 3: Cross multiply
    598,575x = 1,292,106 × 1,292,106
  4. Step 4: Simplify right side
    598,575x = 1,669,537,915,236
  5. Step 5: Solve for x
    x = 1,669,537,915,236/598,575
  6. Step 6: Final answer
    x = 2,789,187.51

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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.