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Finding the Third Proportional to 1,249,784.44 and 1,866,501.56

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Solution

The third proportional to 1,249,784.44 and 1,866,501.56 is: 2,787,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,784.44 : 1,866,501.56 = 1,866,501.56 : x
  2. Step 2: Convert to fraction form
    1,249,784.44/1,866,501.56 = 1,866,501.56/x
  3. Step 3: Cross multiply
    1,249,784.44x = 1,866,501.56 × 1,866,501.56
  4. Step 4: Simplify right side
    1,249,784.44x = 3,483,828,082,814.94
  5. Step 5: Solve for x
    x = 3,483,828,082,814.94/1,249,784.44
  6. Step 6: Final answer
    x = 2,787,543.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.