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Finding the Third Proportional to 712,032 and 1,102,140

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Solution

The third proportional to 712,032 and 1,102,140 is: 1,705,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,032 : 1,102,140 = 1,102,140 : x
  2. Step 2: Convert to fraction form
    712,032/1,102,140 = 1,102,140/x
  3. Step 3: Cross multiply
    712,032x = 1,102,140 × 1,102,140
  4. Step 4: Simplify right side
    712,032x = 1,214,712,579,600
  5. Step 5: Solve for x
    x = 1,214,712,579,600/712,032
  6. Step 6: Final answer
    x = 1,705,980.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.