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Finding the Third Proportional to 803,136 and 1,070,706

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Solution

The third proportional to 803,136 and 1,070,706 is: 1,427,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,136 : 1,070,706 = 1,070,706 : x
  2. Step 2: Convert to fraction form
    803,136/1,070,706 = 1,070,706/x
  3. Step 3: Cross multiply
    803,136x = 1,070,706 × 1,070,706
  4. Step 4: Simplify right side
    803,136x = 1,146,411,338,436
  5. Step 5: Solve for x
    x = 1,146,411,338,436/803,136
  6. Step 6: Final answer
    x = 1,427,418.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.