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Finding the Third Proportional to 2,583,798 and 3,698,550

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Solution

The third proportional to 2,583,798 and 3,698,550 is: 5,294,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,798 : 3,698,550 = 3,698,550 : x
  2. Step 2: Convert to fraction form
    2,583,798/3,698,550 = 3,698,550/x
  3. Step 3: Cross multiply
    2,583,798x = 3,698,550 × 3,698,550
  4. Step 4: Simplify right side
    2,583,798x = 13,679,272,102,500
  5. Step 5: Solve for x
    x = 13,679,272,102,500/2,583,798
  6. Step 6: Final answer
    x = 5,294,249.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.