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Finding the Third Proportional to 1,577,524 and 3,453,572

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Solution

The third proportional to 1,577,524 and 3,453,572 is: 7,560,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,524 : 3,453,572 = 3,453,572 : x
  2. Step 2: Convert to fraction form
    1,577,524/3,453,572 = 3,453,572/x
  3. Step 3: Cross multiply
    1,577,524x = 3,453,572 × 3,453,572
  4. Step 4: Simplify right side
    1,577,524x = 11,927,159,559,184
  5. Step 5: Solve for x
    x = 11,927,159,559,184/1,577,524
  6. Step 6: Final answer
    x = 7,560,683.42

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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.