Finding the Third Proportional to 917,984 and 1,417,824
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Solution
The third proportional to 917,984 and 1,417,824 is: 2,189,825.63
Step by Step Solution
- Step 1: Write the proportion equation
917,984 : 1,417,824 = 1,417,824 : x - Step 2: Convert to fraction form
917,984/1,417,824 = 1,417,824/x - Step 3: Cross multiply
917,984x = 1,417,824 × 1,417,824 - Step 4: Simplify right side
917,984x = 2,010,224,894,976 - Step 5: Solve for x
x = 2,010,224,894,976/917,984 - Step 6: Final answer
x = 2,189,825.63
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.