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Finding the Third Proportional to 654,565,308 and 1,016,337,424

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Solution

The third proportional to 654,565,308 and 1,016,337,424 is: 1,578,057,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,565,308 : 1,016,337,424 = 1,016,337,424 : x
  2. Step 2: Convert to fraction form
    654,565,308/1,016,337,424 = 1,016,337,424/x
  3. Step 3: Cross multiply
    654,565,308x = 1,016,337,424 × 1,016,337,424
  4. Step 4: Simplify right side
    654,565,308x = 1,032,941,759,422,955,776
  5. Step 5: Solve for x
    x = 1,032,941,759,422,955,776/654,565,308
  6. Step 6: Final answer
    x = 1,578,057,600.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.