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Finding the Third Proportional to 592,490 and 893,970

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Solution

The third proportional to 592,490 and 893,970 is: 1,348,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,490 : 893,970 = 893,970 : x
  2. Step 2: Convert to fraction form
    592,490/893,970 = 893,970/x
  3. Step 3: Cross multiply
    592,490x = 893,970 × 893,970
  4. Step 4: Simplify right side
    592,490x = 799,182,360,900
  5. Step 5: Solve for x
    x = 799,182,360,900/592,490
  6. Step 6: Final answer
    x = 1,348,853.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.