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Finding the Third Proportional to 539,898 and 1,249,897

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Solution

The third proportional to 539,898 and 1,249,897 is: 2,893,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,898 : 1,249,897 = 1,249,897 : x
  2. Step 2: Convert to fraction form
    539,898/1,249,897 = 1,249,897/x
  3. Step 3: Cross multiply
    539,898x = 1,249,897 × 1,249,897
  4. Step 4: Simplify right side
    539,898x = 1,562,242,510,609
  5. Step 5: Solve for x
    x = 1,562,242,510,609/539,898
  6. Step 6: Final answer
    x = 2,893,588.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.