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Finding the Third Proportional to 1,577,830 and 3,407,984

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Solution

The third proportional to 1,577,830 and 3,407,984 is: 7,360,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,830 : 3,407,984 = 3,407,984 : x
  2. Step 2: Convert to fraction form
    1,577,830/3,407,984 = 3,407,984/x
  3. Step 3: Cross multiply
    1,577,830x = 3,407,984 × 3,407,984
  4. Step 4: Simplify right side
    1,577,830x = 11,614,354,944,256
  5. Step 5: Solve for x
    x = 11,614,354,944,256/1,577,830
  6. Step 6: Final answer
    x = 7,360,967.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.