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Finding the Third Proportional to 1,506,133.93 and 3,256,998.29

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Solution

The third proportional to 1,506,133.93 and 3,256,998.29 is: 7,043,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,133.93 : 3,256,998.29 = 3,256,998.29 : x
  2. Step 2: Convert to fraction form
    1,506,133.93/3,256,998.29 = 3,256,998.29/x
  3. Step 3: Cross multiply
    1,506,133.93x = 3,256,998.29 × 3,256,998.29
  4. Step 4: Simplify right side
    1,506,133.93x = 10,608,037,880,401.68
  5. Step 5: Solve for x
    x = 10,608,037,880,401.68/1,506,133.93
  6. Step 6: Final answer
    x = 7,043,223.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.