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Finding the Third Proportional to 736,254 and 1,561,486

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Solution

The third proportional to 736,254 and 1,561,486 is: 3,311,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,254 : 1,561,486 = 1,561,486 : x
  2. Step 2: Convert to fraction form
    736,254/1,561,486 = 1,561,486/x
  3. Step 3: Cross multiply
    736,254x = 1,561,486 × 1,561,486
  4. Step 4: Simplify right side
    736,254x = 2,438,238,528,196
  5. Step 5: Solve for x
    x = 2,438,238,528,196/736,254
  6. Step 6: Final answer
    x = 3,311,681.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.