Finding the Third Proportional to 493,456 and 1,056,842
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Solution
The third proportional to 493,456 and 1,056,842 is: 2,263,454.11
Step by Step Solution
- Step 1: Write the proportion equation
493,456 : 1,056,842 = 1,056,842 : x - Step 2: Convert to fraction form
493,456/1,056,842 = 1,056,842/x - Step 3: Cross multiply
493,456x = 1,056,842 × 1,056,842 - Step 4: Simplify right side
493,456x = 1,116,915,012,964 - Step 5: Solve for x
x = 1,116,915,012,964/493,456 - Step 6: Final answer
x = 2,263,454.11
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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.