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Finding the Third Proportional to 834,345 and 1,292,509.50

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Solution

The third proportional to 834,345 and 1,292,509.50 is: 2,002,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,345 : 1,292,509.50 = 1,292,509.50 : x
  2. Step 2: Convert to fraction form
    834,345/1,292,509.50 = 1,292,509.50/x
  3. Step 3: Cross multiply
    834,345x = 1,292,509.50 × 1,292,509.50
  4. Step 4: Simplify right side
    834,345x = 1,670,580,807,590.25
  5. Step 5: Solve for x
    x = 1,670,580,807,590.25/834,345
  6. Step 6: Final answer
    x = 2,002,266.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.