Finding the Third Proportional to 469,216 and 1,004,851
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Solution
The third proportional to 469,216 and 1,004,851 is: 2,151,941.82
Step by Step Solution
- Step 1: Write the proportion equation
469,216 : 1,004,851 = 1,004,851 : x - Step 2: Convert to fraction form
469,216/1,004,851 = 1,004,851/x - Step 3: Cross multiply
469,216x = 1,004,851 × 1,004,851 - Step 4: Simplify right side
469,216x = 1,009,725,532,201 - Step 5: Solve for x
x = 1,009,725,532,201/469,216 - Step 6: Final answer
x = 2,151,941.82
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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.