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Finding the Third Proportional to 983,688 and 1,475,532

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Solution

The third proportional to 983,688 and 1,475,532 is: 2,213,298

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,688 : 1,475,532 = 1,475,532 : x
  2. Step 2: Convert to fraction form
    983,688/1,475,532 = 1,475,532/x
  3. Step 3: Cross multiply
    983,688x = 1,475,532 × 1,475,532
  4. Step 4: Simplify right side
    983,688x = 2,177,194,683,024
  5. Step 5: Solve for x
    x = 2,177,194,683,024/983,688
  6. Step 6: Final answer
    x = 2,213,298

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.