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Finding the Third Proportional to 524,933,208 and 1,148,730,480

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Solution

The third proportional to 524,933,208 and 1,148,730,480 is: 2,513,808,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,933,208 : 1,148,730,480 = 1,148,730,480 : x
  2. Step 2: Convert to fraction form
    524,933,208/1,148,730,480 = 1,148,730,480/x
  3. Step 3: Cross multiply
    524,933,208x = 1,148,730,480 × 1,148,730,480
  4. Step 4: Simplify right side
    524,933,208x = 1,319,581,715,681,030,400
  5. Step 5: Solve for x
    x = 1,319,581,715,681,030,400/524,933,208
  6. Step 6: Final answer
    x = 2,513,808,796.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.