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Finding the Third Proportional to 1,952,000 and 2,916,513

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Solution

The third proportional to 1,952,000 and 2,916,513 is: 4,357,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,000 : 2,916,513 = 2,916,513 : x
  2. Step 2: Convert to fraction form
    1,952,000/2,916,513 = 2,916,513/x
  3. Step 3: Cross multiply
    1,952,000x = 2,916,513 × 2,916,513
  4. Step 4: Simplify right side
    1,952,000x = 8,506,048,079,169
  5. Step 5: Solve for x
    x = 8,506,048,079,169/1,952,000
  6. Step 6: Final answer
    x = 4,357,606.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.