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Finding the Third Proportional to 1,053,700 and 1,505,714.50

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Solution

The third proportional to 1,053,700 and 1,505,714.50 is: 2,151,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,700 : 1,505,714.50 = 1,505,714.50 : x
  2. Step 2: Convert to fraction form
    1,053,700/1,505,714.50 = 1,505,714.50/x
  3. Step 3: Cross multiply
    1,053,700x = 1,505,714.50 × 1,505,714.50
  4. Step 4: Simplify right side
    1,053,700x = 2,267,176,155,510.25
  5. Step 5: Solve for x
    x = 2,267,176,155,510.25/1,053,700
  6. Step 6: Final answer
    x = 2,151,633.44

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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.