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Finding the Third Proportional to 709,529.63 and 1,596,677.06

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Solution

The third proportional to 709,529.63 and 1,596,677.06 is: 3,593,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,529.63 : 1,596,677.06 = 1,596,677.06 : x
  2. Step 2: Convert to fraction form
    709,529.63/1,596,677.06 = 1,596,677.06/x
  3. Step 3: Cross multiply
    709,529.63x = 1,596,677.06 × 1,596,677.06
  4. Step 4: Simplify right side
    709,529.63x = 2,549,377,641,913.63
  5. Step 5: Solve for x
    x = 2,549,377,641,913.63/709,529.63
  6. Step 6: Final answer
    x = 3,593,053.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.