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Finding the Third Proportional to 1,145,592 and 1,683,312

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Solution

The third proportional to 1,145,592 and 1,683,312 is: 2,473,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,592 : 1,683,312 = 1,683,312 : x
  2. Step 2: Convert to fraction form
    1,145,592/1,683,312 = 1,683,312/x
  3. Step 3: Cross multiply
    1,145,592x = 1,683,312 × 1,683,312
  4. Step 4: Simplify right side
    1,145,592x = 2,833,539,289,344
  5. Step 5: Solve for x
    x = 2,833,539,289,344/1,145,592
  6. Step 6: Final answer
    x = 2,473,427.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.