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Finding the Third Proportional to 556,364 and 1,201,423

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Solution

The third proportional to 556,364 and 1,201,423 is: 2,594,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,364 : 1,201,423 = 1,201,423 : x
  2. Step 2: Convert to fraction form
    556,364/1,201,423 = 1,201,423/x
  3. Step 3: Cross multiply
    556,364x = 1,201,423 × 1,201,423
  4. Step 4: Simplify right side
    556,364x = 1,443,417,224,929
  5. Step 5: Solve for x
    x = 1,443,417,224,929/556,364
  6. Step 6: Final answer
    x = 2,594,375.67

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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.