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Finding the Third Proportional to 712,240 and 1,681,312

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Solution

The third proportional to 712,240 and 1,681,312 is: 3,968,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,240 : 1,681,312 = 1,681,312 : x
  2. Step 2: Convert to fraction form
    712,240/1,681,312 = 1,681,312/x
  3. Step 3: Cross multiply
    712,240x = 1,681,312 × 1,681,312
  4. Step 4: Simplify right side
    712,240x = 2,826,810,041,344
  5. Step 5: Solve for x
    x = 2,826,810,041,344/712,240
  6. Step 6: Final answer
    x = 3,968,900.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.