Finding the Third Proportional to 469,094 and 1,024,209
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Solution
The third proportional to 469,094 and 1,024,209 is: 2,236,234.26
Step by Step Solution
- Step 1: Write the proportion equation
469,094 : 1,024,209 = 1,024,209 : x - Step 2: Convert to fraction form
469,094/1,024,209 = 1,024,209/x - Step 3: Cross multiply
469,094x = 1,024,209 × 1,024,209 - Step 4: Simplify right side
469,094x = 1,049,004,075,681 - Step 5: Solve for x
x = 1,049,004,075,681/469,094 - Step 6: Final answer
x = 2,236,234.26
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.