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Finding the Third Proportional to 1,684,700.02 and 3,688,200.84

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Solution

The third proportional to 1,684,700.02 and 3,688,200.84 is: 8,074,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,700.02 : 3,688,200.84 = 3,688,200.84 : x
  2. Step 2: Convert to fraction form
    1,684,700.02/3,688,200.84 = 3,688,200.84/x
  3. Step 3: Cross multiply
    1,684,700.02x = 3,688,200.84 × 3,688,200.84
  4. Step 4: Simplify right side
    1,684,700.02x = 13,602,825,463,838.21
  5. Step 5: Solve for x
    x = 13,602,825,463,838.21/1,684,700.02
  6. Step 6: Final answer
    x = 8,074,330.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.