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Finding the Third Proportional to 1,577,547 and 3,453,624

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Solution

The third proportional to 1,577,547 and 3,453,624 is: 7,560,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,547 : 3,453,624 = 3,453,624 : x
  2. Step 2: Convert to fraction form
    1,577,547/3,453,624 = 3,453,624/x
  3. Step 3: Cross multiply
    1,577,547x = 3,453,624 × 3,453,624
  4. Step 4: Simplify right side
    1,577,547x = 11,927,518,733,376
  5. Step 5: Solve for x
    x = 11,927,518,733,376/1,577,547
  6. Step 6: Final answer
    x = 7,560,800.87

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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.