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Finding the Third Proportional to 712,476 and 1,115,370

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Solution

The third proportional to 712,476 and 1,115,370 is: 1,746,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,476 : 1,115,370 = 1,115,370 : x
  2. Step 2: Convert to fraction form
    712,476/1,115,370 = 1,115,370/x
  3. Step 3: Cross multiply
    712,476x = 1,115,370 × 1,115,370
  4. Step 4: Simplify right side
    712,476x = 1,244,050,236,900
  5. Step 5: Solve for x
    x = 1,244,050,236,900/712,476
  6. Step 6: Final answer
    x = 1,746,094.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.