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Finding the Third Proportional to 651,674 and 1,443,316

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Solution

The third proportional to 651,674 and 1,443,316 is: 3,196,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,674 : 1,443,316 = 1,443,316 : x
  2. Step 2: Convert to fraction form
    651,674/1,443,316 = 1,443,316/x
  3. Step 3: Cross multiply
    651,674x = 1,443,316 × 1,443,316
  4. Step 4: Simplify right side
    651,674x = 2,083,161,075,856
  5. Step 5: Solve for x
    x = 2,083,161,075,856/651,674
  6. Step 6: Final answer
    x = 3,196,630.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.