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Finding the Third Proportional to 1,051,468.59 and 1,575,448.73

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Solution

The third proportional to 1,051,468.59 and 1,575,448.73 is: 2,360,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,468.59 : 1,575,448.73 = 1,575,448.73 : x
  2. Step 2: Convert to fraction form
    1,051,468.59/1,575,448.73 = 1,575,448.73/x
  3. Step 3: Cross multiply
    1,051,468.59x = 1,575,448.73 × 1,575,448.73
  4. Step 4: Simplify right side
    1,051,468.59x = 2,482,038,714,643.79
  5. Step 5: Solve for x
    x = 2,482,038,714,643.79/1,051,468.59
  6. Step 6: Final answer
    x = 2,360,544.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.