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Finding the Third Proportional to 570,320 and 1,249,504

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Solution

The third proportional to 570,320 and 1,249,504 is: 2,737,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,320 : 1,249,504 = 1,249,504 : x
  2. Step 2: Convert to fraction form
    570,320/1,249,504 = 1,249,504/x
  3. Step 3: Cross multiply
    570,320x = 1,249,504 × 1,249,504
  4. Step 4: Simplify right side
    570,320x = 1,561,260,246,016
  5. Step 5: Solve for x
    x = 1,561,260,246,016/570,320
  6. Step 6: Final answer
    x = 2,737,516.21

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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.