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Finding the Third Proportional to 245,122,486 and 525,214,862

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Solution

The third proportional to 245,122,486 and 525,214,862 is: 1,125,358,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,122,486 : 525,214,862 = 525,214,862 : x
  2. Step 2: Convert to fraction form
    245,122,486/525,214,862 = 525,214,862/x
  3. Step 3: Cross multiply
    245,122,486x = 525,214,862 × 525,214,862
  4. Step 4: Simplify right side
    245,122,486x = 275,850,651,265,679,040
  5. Step 5: Solve for x
    x = 275,850,651,265,679,040/245,122,486
  6. Step 6: Final answer
    x = 1,125,358,410.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.