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Finding the Third Proportional to 455,984,772 and 924,657,852

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Solution

The third proportional to 455,984,772 and 924,657,852 is: 1,875,045,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,984,772 : 924,657,852 = 924,657,852 : x
  2. Step 2: Convert to fraction form
    455,984,772/924,657,852 = 924,657,852/x
  3. Step 3: Cross multiply
    455,984,772x = 924,657,852 × 924,657,852
  4. Step 4: Simplify right side
    455,984,772x = 854,992,143,265,253,888
  5. Step 5: Solve for x
    x = 854,992,143,265,253,888/455,984,772
  6. Step 6: Final answer
    x = 1,875,045,386.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.