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Finding the Third Proportional to 1,590,653 and 2,409,133.50

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Solution

The third proportional to 1,590,653 and 2,409,133.50 is: 3,648,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,653 : 2,409,133.50 = 2,409,133.50 : x
  2. Step 2: Convert to fraction form
    1,590,653/2,409,133.50 = 2,409,133.50/x
  3. Step 3: Cross multiply
    1,590,653x = 2,409,133.50 × 2,409,133.50
  4. Step 4: Simplify right side
    1,590,653x = 5,803,924,220,822.25
  5. Step 5: Solve for x
    x = 5,803,924,220,822.25/1,590,653
  6. Step 6: Final answer
    x = 3,648,768.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.