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Finding the Third Proportional to 1,616,547 and 2,535,873

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Solution

The third proportional to 1,616,547 and 2,535,873 is: 3,978,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,547 : 2,535,873 = 2,535,873 : x
  2. Step 2: Convert to fraction form
    1,616,547/2,535,873 = 2,535,873/x
  3. Step 3: Cross multiply
    1,616,547x = 2,535,873 × 2,535,873
  4. Step 4: Simplify right side
    1,616,547x = 6,430,651,872,129
  5. Step 5: Solve for x
    x = 6,430,651,872,129/1,616,547
  6. Step 6: Final answer
    x = 3,978,017.26

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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.