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Finding the Third Proportional to 737,511 and 1,009,323

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Solution

The third proportional to 737,511 and 1,009,323 is: 1,381,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,511 : 1,009,323 = 1,009,323 : x
  2. Step 2: Convert to fraction form
    737,511/1,009,323 = 1,009,323/x
  3. Step 3: Cross multiply
    737,511x = 1,009,323 × 1,009,323
  4. Step 4: Simplify right side
    737,511x = 1,018,732,918,329
  5. Step 5: Solve for x
    x = 1,018,732,918,329/737,511
  6. Step 6: Final answer
    x = 1,381,312.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.