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Finding the Third Proportional to 245,122,482 and 525,214,854

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Solution

The third proportional to 245,122,482 and 525,214,854 is: 1,125,358,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,122,482 : 525,214,854 = 525,214,854 : x
  2. Step 2: Convert to fraction form
    245,122,482/525,214,854 = 525,214,854/x
  3. Step 3: Cross multiply
    245,122,482x = 525,214,854 × 525,214,854
  4. Step 4: Simplify right side
    245,122,482x = 275,850,642,862,241,312
  5. Step 5: Solve for x
    x = 275,850,642,862,241,312/245,122,482
  6. Step 6: Final answer
    x = 1,125,358,394.76

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Why These Related Problems?

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