Finding the Third Proportional to 414,535,848 and 886,467,324
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Solution
The third proportional to 414,535,848 and 886,467,324 is: 1,895,672,763.43
Step by Step Solution
- Step 1: Write the proportion equation
414,535,848 : 886,467,324 = 886,467,324 : x - Step 2: Convert to fraction form
414,535,848/886,467,324 = 886,467,324/x - Step 3: Cross multiply
414,535,848x = 886,467,324 × 886,467,324 - Step 4: Simplify right side
414,535,848x = 785,824,316,519,720,960 - Step 5: Solve for x
x = 785,824,316,519,720,960/414,535,848 - Step 6: Final answer
x = 1,895,672,763.43
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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.