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Finding the Third Proportional to 900,282 and 1,380,397

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Solution

The third proportional to 900,282 and 1,380,397 is: 2,116,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,282 : 1,380,397 = 1,380,397 : x
  2. Step 2: Convert to fraction form
    900,282/1,380,397 = 1,380,397/x
  3. Step 3: Cross multiply
    900,282x = 1,380,397 × 1,380,397
  4. Step 4: Simplify right side
    900,282x = 1,905,495,877,609
  5. Step 5: Solve for x
    x = 1,905,495,877,609/900,282
  6. Step 6: Final answer
    x = 2,116,554.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.