Finding the Third Proportional to 429,742,917 and 920,748,978
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Solution
The third proportional to 429,742,917 and 920,748,978 is: 1,972,757,774.36
Step by Step Solution
- Step 1: Write the proportion equation
429,742,917 : 920,748,978 = 920,748,978 : x - Step 2: Convert to fraction form
429,742,917/920,748,978 = 920,748,978/x - Step 3: Cross multiply
429,742,917x = 920,748,978 × 920,748,978 - Step 4: Simplify right side
429,742,917x = 847,778,680,488,044,544 - Step 5: Solve for x
x = 847,778,680,488,044,544/429,742,917 - Step 6: Final answer
x = 1,972,757,774.36
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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.