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Finding the Third Proportional to 589,897.88 and 910,924.88

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Solution

The third proportional to 589,897.88 and 910,924.88 is: 1,406,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,897.88 : 910,924.88 = 910,924.88 : x
  2. Step 2: Convert to fraction form
    589,897.88/910,924.88 = 910,924.88/x
  3. Step 3: Cross multiply
    589,897.88x = 910,924.88 × 910,924.88
  4. Step 4: Simplify right side
    589,897.88x = 829,784,127,893.77
  5. Step 5: Solve for x
    x = 829,784,127,893.77/589,897.88
  6. Step 6: Final answer
    x = 1,406,657.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.