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Finding the Third Proportional to 570,322 and 1,249,508

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Solution

The third proportional to 570,322 and 1,249,508 is: 2,737,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,322 : 1,249,508 = 1,249,508 : x
  2. Step 2: Convert to fraction form
    570,322/1,249,508 = 1,249,508/x
  3. Step 3: Cross multiply
    570,322x = 1,249,508 × 1,249,508
  4. Step 4: Simplify right side
    570,322x = 1,561,270,242,064
  5. Step 5: Solve for x
    x = 1,561,270,242,064/570,322
  6. Step 6: Final answer
    x = 2,737,524.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.