Finding the Third Proportional to 429,142,878 and 926,890,839
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Solution
The third proportional to 429,142,878 and 926,890,839 is: 2,001,959,420.66
Step by Step Solution
- Step 1: Write the proportion equation
429,142,878 : 926,890,839 = 926,890,839 : x - Step 2: Convert to fraction form
429,142,878/926,890,839 = 926,890,839/x - Step 3: Cross multiply
429,142,878x = 926,890,839 × 926,890,839 - Step 4: Simplify right side
429,142,878x = 859,126,627,422,123,904 - Step 5: Solve for x
x = 859,126,627,422,123,904/429,142,878 - Step 6: Final answer
x = 2,001,959,420.66
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.