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Finding the Third Proportional to 566,884,479 and 810,645,769

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Solution

The third proportional to 566,884,479 and 810,645,769 is: 1,159,224,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,884,479 : 810,645,769 = 810,645,769 : x
  2. Step 2: Convert to fraction form
    566,884,479/810,645,769 = 810,645,769/x
  3. Step 3: Cross multiply
    566,884,479x = 810,645,769 × 810,645,769
  4. Step 4: Simplify right side
    566,884,479x = 657,146,562,797,601,408
  5. Step 5: Solve for x
    x = 657,146,562,797,601,408/566,884,479
  6. Step 6: Final answer
    x = 1,159,224,828.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.