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Finding the Third Proportional to 1,714,164 and 3,656,140.50

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Solution

The third proportional to 1,714,164 and 3,656,140.50 is: 7,798,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,164 : 3,656,140.50 = 3,656,140.50 : x
  2. Step 2: Convert to fraction form
    1,714,164/3,656,140.50 = 3,656,140.50/x
  3. Step 3: Cross multiply
    1,714,164x = 3,656,140.50 × 3,656,140.50
  4. Step 4: Simplify right side
    1,714,164x = 13,367,363,355,740.25
  5. Step 5: Solve for x
    x = 13,367,363,355,740.25/1,714,164
  6. Step 6: Final answer
    x = 7,798,182.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.