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Finding the Third Proportional to 1,616,798 and 2,536,275.50

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Solution

The third proportional to 1,616,798 and 2,536,275.50 is: 3,978,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,798 : 2,536,275.50 = 2,536,275.50 : x
  2. Step 2: Convert to fraction form
    1,616,798/2,536,275.50 = 2,536,275.50/x
  3. Step 3: Cross multiply
    1,616,798x = 2,536,275.50 × 2,536,275.50
  4. Step 4: Simplify right side
    1,616,798x = 6,432,693,411,900.25
  5. Step 5: Solve for x
    x = 6,432,693,411,900.25/1,616,798
  6. Step 6: Final answer
    x = 3,978,662.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.