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Finding the Third Proportional to 562,468 and 1,249,352

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Solution

The third proportional to 562,468 and 1,249,352 is: 2,775,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,468 : 1,249,352 = 1,249,352 : x
  2. Step 2: Convert to fraction form
    562,468/1,249,352 = 1,249,352/x
  3. Step 3: Cross multiply
    562,468x = 1,249,352 × 1,249,352
  4. Step 4: Simplify right side
    562,468x = 1,560,880,419,904
  5. Step 5: Solve for x
    x = 1,560,880,419,904/562,468
  6. Step 6: Final answer
    x = 2,775,056.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.