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Finding the Third Proportional to 916,653 and 1,973,729

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Solution

The third proportional to 916,653 and 1,973,729 is: 4,249,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,653 : 1,973,729 = 1,973,729 : x
  2. Step 2: Convert to fraction form
    916,653/1,973,729 = 1,973,729/x
  3. Step 3: Cross multiply
    916,653x = 1,973,729 × 1,973,729
  4. Step 4: Simplify right side
    916,653x = 3,895,606,165,441
  5. Step 5: Solve for x
    x = 3,895,606,165,441/916,653
  6. Step 6: Final answer
    x = 4,249,815.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.