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Finding the Third Proportional to 1,602,432 and 3,249,120

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Solution

The third proportional to 1,602,432 and 3,249,120 is: 6,587,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,432 : 3,249,120 = 3,249,120 : x
  2. Step 2: Convert to fraction form
    1,602,432/3,249,120 = 3,249,120/x
  3. Step 3: Cross multiply
    1,602,432x = 3,249,120 × 3,249,120
  4. Step 4: Simplify right side
    1,602,432x = 10,556,780,774,400
  5. Step 5: Solve for x
    x = 10,556,780,774,400/1,602,432
  6. Step 6: Final answer
    x = 6,587,974.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.