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Finding the Third Proportional to 671,835 and 1,018,413

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Solution

The third proportional to 671,835 and 1,018,413 is: 1,543,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,835 : 1,018,413 = 1,018,413 : x
  2. Step 2: Convert to fraction form
    671,835/1,018,413 = 1,018,413/x
  3. Step 3: Cross multiply
    671,835x = 1,018,413 × 1,018,413
  4. Step 4: Simplify right side
    671,835x = 1,037,165,038,569
  5. Step 5: Solve for x
    x = 1,037,165,038,569/671,835
  6. Step 6: Final answer
    x = 1,543,779.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.