Finding the Third Proportional to 473,784 and 1,036,138
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Solution
The third proportional to 473,784 and 1,036,138 is: 2,265,973.43
Step by Step Solution
- Step 1: Write the proportion equation
473,784 : 1,036,138 = 1,036,138 : x - Step 2: Convert to fraction form
473,784/1,036,138 = 1,036,138/x - Step 3: Cross multiply
473,784x = 1,036,138 × 1,036,138 - Step 4: Simplify right side
473,784x = 1,073,581,955,044 - Step 5: Solve for x
x = 1,073,581,955,044/473,784 - Step 6: Final answer
x = 2,265,973.43
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.