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Finding the Third Proportional to 1,357,965 and 2,949,472.13

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Solution

The third proportional to 1,357,965 and 2,949,472.13 is: 6,406,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,965 : 2,949,472.13 = 2,949,472.13 : x
  2. Step 2: Convert to fraction form
    1,357,965/2,949,472.13 = 2,949,472.13/x
  3. Step 3: Cross multiply
    1,357,965x = 2,949,472.13 × 2,949,472.13
  4. Step 4: Simplify right side
    1,357,965x = 8,699,385,816,152.02
  5. Step 5: Solve for x
    x = 8,699,385,816,152.02/1,357,965
  6. Step 6: Final answer
    x = 6,406,192.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.