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Finding the Third Proportional to 1,055,952 and 1,513,201.50

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Solution

The third proportional to 1,055,952 and 1,513,201.50 is: 2,168,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,952 : 1,513,201.50 = 1,513,201.50 : x
  2. Step 2: Convert to fraction form
    1,055,952/1,513,201.50 = 1,513,201.50/x
  3. Step 3: Cross multiply
    1,055,952x = 1,513,201.50 × 1,513,201.50
  4. Step 4: Simplify right side
    1,055,952x = 2,289,778,779,602.25
  5. Step 5: Solve for x
    x = 2,289,778,779,602.25/1,055,952
  6. Step 6: Final answer
    x = 2,168,449.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.