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Finding the Third Proportional to 413,507 and 893,038

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Solution

The third proportional to 413,507 and 893,038 is: 1,928,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,507 : 893,038 = 893,038 : x
  2. Step 2: Convert to fraction form
    413,507/893,038 = 893,038/x
  3. Step 3: Cross multiply
    413,507x = 893,038 × 893,038
  4. Step 4: Simplify right side
    413,507x = 797,516,869,444
  5. Step 5: Solve for x
    x = 797,516,869,444/413,507
  6. Step 6: Final answer
    x = 1,928,665.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.