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Finding the Third Proportional to 829,254 and 1,249,725

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Solution

The third proportional to 829,254 and 1,249,725 is: 1,883,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,254 : 1,249,725 = 1,249,725 : x
  2. Step 2: Convert to fraction form
    829,254/1,249,725 = 1,249,725/x
  3. Step 3: Cross multiply
    829,254x = 1,249,725 × 1,249,725
  4. Step 4: Simplify right side
    829,254x = 1,561,812,575,625
  5. Step 5: Solve for x
    x = 1,561,812,575,625/829,254
  6. Step 6: Final answer
    x = 1,883,394.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.