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Finding the Third Proportional to 3,174,316 and 4,537,466

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Solution

The third proportional to 3,174,316 and 4,537,466 is: 6,485,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,316 : 4,537,466 = 4,537,466 : x
  2. Step 2: Convert to fraction form
    3,174,316/4,537,466 = 4,537,466/x
  3. Step 3: Cross multiply
    3,174,316x = 4,537,466 × 4,537,466
  4. Step 4: Simplify right side
    3,174,316x = 20,588,597,701,156
  5. Step 5: Solve for x
    x = 20,588,597,701,156/3,174,316
  6. Step 6: Final answer
    x = 6,485,995.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.