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Finding the Third Proportional to 748,278 and 1,590,030

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Solution

The third proportional to 748,278 and 1,590,030 is: 3,378,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,278 : 1,590,030 = 1,590,030 : x
  2. Step 2: Convert to fraction form
    748,278/1,590,030 = 1,590,030/x
  3. Step 3: Cross multiply
    748,278x = 1,590,030 × 1,590,030
  4. Step 4: Simplify right side
    748,278x = 2,528,195,400,900
  5. Step 5: Solve for x
    x = 2,528,195,400,900/748,278
  6. Step 6: Final answer
    x = 3,378,684.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.