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Finding the Third Proportional to 873,506 and 1,900,852

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Solution

The third proportional to 873,506 and 1,900,852 is: 4,136,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,506 : 1,900,852 = 1,900,852 : x
  2. Step 2: Convert to fraction form
    873,506/1,900,852 = 1,900,852/x
  3. Step 3: Cross multiply
    873,506x = 1,900,852 × 1,900,852
  4. Step 4: Simplify right side
    873,506x = 3,613,238,325,904
  5. Step 5: Solve for x
    x = 3,613,238,325,904/873,506
  6. Step 6: Final answer
    x = 4,136,477.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.