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Finding the Third Proportional to 556,416 and 1,201,536

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Solution

The third proportional to 556,416 and 1,201,536 is: 2,594,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,416 : 1,201,536 = 1,201,536 : x
  2. Step 2: Convert to fraction form
    556,416/1,201,536 = 1,201,536/x
  3. Step 3: Cross multiply
    556,416x = 1,201,536 × 1,201,536
  4. Step 4: Simplify right side
    556,416x = 1,443,688,759,296
  5. Step 5: Solve for x
    x = 1,443,688,759,296/556,416
  6. Step 6: Final answer
    x = 2,594,621.22

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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.