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Finding the Third Proportional to 604,833 and 893,460

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Solution

The third proportional to 604,833 and 893,460 is: 1,319,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,833 : 893,460 = 893,460 : x
  2. Step 2: Convert to fraction form
    604,833/893,460 = 893,460/x
  3. Step 3: Cross multiply
    604,833x = 893,460 × 893,460
  4. Step 4: Simplify right side
    604,833x = 798,270,771,600
  5. Step 5: Solve for x
    x = 798,270,771,600/604,833
  6. Step 6: Final answer
    x = 1,319,820.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.